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41. The Maz'ya anniversary collection [1999]
 Basel ; Boston : Birkhäuser Verlag, c1999.
 Description
 Book — 2 v. : ill. ; 24 cm.
 Summary

 v. 1. On Maz'ya's work in functional analysis, partial differential equations and applications
 v. 2. Rostock conference on functional analysis, partial differential equations and applications.
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This is a collection of articles dedicated to V.G. Maz'ya. The first volume shows the variety of his work, whilst the second presents problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis.
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This the first volume of a collection of articles dedicated to V.G. Maz'ya on the occasion of his 60th birthday. This volume contains surveys that show his enormous productivity and the large variety of his work.
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QA319 .M38 1999 V.1  Available 
QA319 .M38 1999 V.2  Available 
 Rossmann, Jürgen.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 1999.  Basel Birkhäuser Basel Imprint: Birkhäuser, 1999.
 Description
 Book — 1 online resource (352 pages). Digital: text file; PDF.
 Summary

 The biharmonic obstacle problem with varying obstacles and a related maximal operator
 Maximum and antimaximum principles for some systems involving Schrödinger operators
 Coupling of finite and boundary element methods for the timeharmonic Maxwell equations
 Perturbation of trajectory attractors for dissipative hyperbolic equations
 A review of Hardy inequalities
 Solutions of a class of semilinear differential equations: trace and singularities on the boundary
 Eigenfrequencies of fractal drums
 Approximate identities and stability of discrete convolution operators with flip
 The Dirac equation without spinors
 On symmetry and asymmetry of positive solutions of?u + f (u) = 0 where f is discontinuous
 Hybrid methods for boundary value problems via boundary energy
 Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry
 On the LiebThirring conjecture for a class of potentials
 New results on wave diffraction by canonical obstacles
 Generalized Lucas polynomials matrix theory, and zero's distribution of orthogonal polynomials
 Lower bounds for the generalized counting function
 Pointwise multipliers of LizorkinTriebel spaces
 Nonlinear potentials and trace inequalities
 A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields.
 Rossmann, Jürgen, Author.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 1999.  Basel Birkhäuser Basel Imprint: Birkhäuser, 1999.
 Description
 Book — 1 online resource (XII, 364 p.) Digital: text file; PDF.
 Summary

 Vladimir Maz'ya: Friend and mathematician. Recollections
 On Maz'ya's work in potential theory and the theory of function spaces
 1. Introduction
 2. Embeddings and isoperimetric inequalities
 3. Regularity of solutions
 4. Boundary regularity
 5. Nonlinear potential theory
 Maz'ya's works in the linear theory of water waves
 1. Introduction
 2. The unique solvability of the water wave problem
 3. The NeumannKelvin problem
 4. Asymptotic expansions for transient water waves due to brief and highfrequency disturbances
 Maz'ya's work on integral and pseudodifferential operators
 1. Nonelliptic operators
 2. Oblique derivative problem: breakthrough in the generic case of degeneration
 3. Estimates for differential operators in the halfspace
 4. The characteristic Cauchy problem for hyperbolic equations
 5. New methods for solving illposed boundary value problems
 6. Applications of multiplier theory to integral operators
 7. Integral equations of harmonic potential theory on general nonregular surfaces
 8. Boundary integral equations on piecewise smooth surfaces
 Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains
 1. Maz'ya's early work on boundary value problems in nonsmooth domains
 2. General elliptic boundary value problems in domains with point singularities
 3. Boundary value problems in domains with edges
 4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone
 5. Applications to elastostatics and hydrodynamics
 6. Singularities of solutions to nonlinear elliptic equations at a cone vertex
 On some potential theoretic themes in function theory
 1. Approximation theory
 2. Uniqueness properties of analytic functions
 3. The Cauchy problem for the Laplace equation
 Approximate approximations and their applications
 1. Introduction
 2. Quasiinterpolation
 3. Generating functions for quasiinterpolation of high order
 4. Semianalytic cubature formulas
 5. Cubature of integral operators over bounded domains
 6. Approximate wavelets
 7. Numerical algorithms based upon approximate approximations
 Maz'ya's work on the biography of Hadamard
 Isoperimetric inequalities and capacities on Riemannian manifolds
 1. Introduction
 2. Capacity of balls
 3. Parabolicity of manifolds
 4. Isoperimetric inequality and Sobolev inequality
 5. Capacity and the principal frequency
 6. Cheeger's inequality
 7. Eigenvalues of balls on spherically symmetric manifolds
 8. Heat kernel on spherically symmetric manifolds
 Multipliers of differentiable functions and their traces
 1. Introduction
 2. Description and properties of multipliers
 3. Multipliers in the space of Bessel potentials as traces of multipliers
 An asymptotic theory of nonlinear abstract higher order ordinary differential equations
 Sobolev spaces for domains with cusps
 1. Introduction
 2. Extension theorems
 3. Embedding theorems
 4. Boundary values of Sobolev functions
 Extension theorems for Sobolev spaces
 1. Introduction
 2. Extensions with preservation of class
 3. Estimates for the minimal norm of an extension operator
 4. Extensions with deterioration of class
 Contributions of V.G. Maz'ya to analysis of singularly perturbed boundary value problems
 1. Introduction
 2. Domain with a small hole
 3. General asymptotic theory by Maz'ya, Nazarov and Plamenevskii
 4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner
 5. Compound asymptotics for homogenization problems
 6. Boundary value problems in 3D1D multistructures
 Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain
 1. Introduction
 2. Formulation of the problem
 3. The leading order approximation
 A history of the Cosserat spectrum
 1. Introduction
 2. The first boundary value problem of elastostatics
 3. The second and other boundaryvalue problems
 4. Applications and other related results
 Boundary integral equations for plane domains with cusps
 1. Introduction
 2. Integral equations in weighted Sobolev spaces
 On Maz'ya type inequalities for convolution operators
 1. Introduction
 2. Onedimensional polynomials
 3. The functions ?x?2? in ? n
 Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data
 1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions
 2. Exact constants in inequalities of maximum principle type for certain systems and equations of mathematical physics
 3. Maximum modulus principle for elliptic systems
 4. Maximum modulus principle for parabolic systems
 5. Maximum norm principle for parabolic systems
 Lpcontractivity of semigroups generated by parabolic matrix differential operators
 1. Introduction
 2. Preliminaries
 3. Weakly coupled systems
 4. Coupled systems
 Curriculum vitae of Vladimir Maz'ya
 Publications of Vladimir Maz'ya.
 BrazilUSA Conference on Multidimensional Complex Analysis and Partial Differential Equations (1995 : São Carlos, São Paulo, Brazil)
 Providence, R.I. : American Mathematical Society, c1997.
 Description
 Book — ix, 276 p. ; 26 cm.
 Summary

 On extreme points and the strong maximum principle for CR functions by S. Berhanu Symplectic cones and Toeplitz operators by L. Boutet de Monvel A LyapounovSchmidt procedure involving a nonlinear projection by H. Brezis and L. Nirenberg Remarks on commutators of pseudodifferential operators by S. Chanillo A survey on the problem of local solvability for systems of vector fields by P. D. Cordaro Extension of CRstructures for 3dimensional pseudoconcave manifolds by C. L. Epstein and G. M. Henkin Analytic singularities by G. Francsics and N. Hanges Asymptotic behavior of the Bergman kernel and hypergeometric functions by G. Francsics and N. Hanges Quasilinear degenerate elliptic equations in divergence form by P. Guan Remarks on the KleinGordon and Dirac equations by L. Hormander Removable singularities of vector fields and the NirenbergTreves property by J. Hounie and J. Tavares The Levi and Stein problems for elliptic structures by H. Jacobowitz On a priori estimate on a manifold with singularity on the boundary by M. Kuranishi The problem of complexifying a Lie group by L. Lempert Energy methods via coherent states and advanced pseudodifferential calculus by N. Lerner Group invariant convex hypersurfaces with prescribed GaussKronecker curvature by Y. Y. Li Elliptic structures by G. A. Mendoza Mizohata structures on $S^2$: Automorphisms and standardness by A. Meziani Holomorphically nondegenerate algebraic hypersurfaces and their mappings by L. P. Rothschild Analyticity of CR mappings of algebraic hypersurfaces by M. S. Baouendi Propagation of extendibility of CR functions on manifolds with edges by A. Tumanov A note on extremal discs and double valued reflection by S. M. Webster.
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QA319 .B73 1995  Available 
 Singapore ; Teaneck, NJ : World Scientific, c1990.
 Description
 Book — viii, 379 p. : ill. ; 23 cm.
 Online

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QA331.7 .F86 1990  Available 
46. Fixed Point theory and its applications [1976]
 Seminar on Fixed Point Theory and its Applications (1975 : Dalhousie University)
 New York : Academic Press, 1976.
 Description
 Book — xiii, 216 p. : ill. ; 24 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA329.9 .S45 1976  Available 
47. Nonlinear Vibrations and the Wave Equation [2018]
 Haraux, Alain, 1949 author.
 Cham : Springer, 2018.
 Description
 Book — 1 online resource (x, 102 pages). Digital: text file; PDF.
 Summary

 1 Unbounded Linear Operators and Evolution Equations. 2 A Class of Abstract Wave Equations. 3 Almost Periodic Functions and the Abstract Wave Equation. 4 The Wave Equation in a Bounded Domain. 5 The InitialValue Problem for a Mildly Perturbed Wave Equation. 6 The InitialValue Problem in Presence of a Strong Dissipation. 7 Solutions on R+ and Boundedness of the Energy. 8 Existence of Forced Oscillations. 9 Stability of Periodic or Almost Periodic Solutions. 10 The Conservative Case in One Spatial Dimension. 11 The Conservative Case in Several Spatial Dimensions. 12 Thirthy Years After.
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 AMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations (2012 : Rochester, N.Y.)
 Providence, Rhode Island : American Mathematical Society, [2013]
 Description
 Book — xix, 195 pages ; 26 cm.
 Summary

This volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 2223, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C^*$algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (overcomplete bases) and their practical applications to engineering, cosmology and astrophysics. Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some realworld applications.
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Science Library (Li and Ma)
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QA403 .A5275 2012  Unknown 
 Klein, Sebastian, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — viii, 332 pages : illustrations ; 24 cm.
 Summary

  Part I Spectral Data.  Introduction.  Minimal Immersions into the 3Sphere and the SinhGordon Equation.  Spectral Data for Simply Periodic Solutions of the SinhGordon Equation.  Part II The Asymptotic Behavior of the Spectral Data.  The Vacuum Solution.  The Basic Asymptotic of the Monodromy.  Basic Behavior of the Spectral Data.  The Fourier Asymptotic of the Monodromy.  The Consequences of the Fourier Asymptotic for the Spectral Data.  Part III The Inverse Problem for the Monodromy.  Asymptotic Spaces of Holomorphic Functions.  Interpolating Holomorphic Functions.  Final Description of the Asymptotic of the Monodromy.  Nonspecial Divisors and the Inverse Problem for the Monodromy.  Part IV The Inverse Problem for Periodic Potentials (Cauchy Data).  Divisors of Finite Type.  Darboux Coordinates for the Space of Potentials.  The Inverse Problem for Cauchy Data Along the Real Line.  Part V The Jacobi Variety of the Spectral Curve.  Estimate of Certain Integrals.  Asymptotic Behavior of 1Forms on the Spectral Curve.  Construction of the Jacobi Variety for the Spectral Curve.  The Jacobi Variety and Translations of the Potential.  Asymptotics of Spectral Data for Potentials on a Horizontal Strip.  Perspectives.
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Shelved by Series title V.2229  Unknown 
 Demengel, Françoise.
 London ; New York : Springer, ©2012.
 Description
 Book — 1 online resource (xviii, 465 pages) : illustrations. Digital: text file; PDF.
 Summary

 Notions from Topology and Functional Analysis
 Sobolev Spaces and Embedding Theorems
 Traces of Functions on Sobolev Spaces
 Fractional Sobolev Spaces
 Elliptic PDE: Variational Techniques
 Distributions with Measures as Derivatives
 Korn's Inequality in L p
 Erratum.
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51. A panorama of modern operator theory and related topics : the Israel Gohberg memorial volume [2012]
 Basel ; New York : Birkhäuser, c2012.
 Description
 Book — vii, 638 p. : port ; 24 cm.
 Summary

This book is dedicated to the memory of Israel Gohberg (19282009)  one of the great mathematicians of our time  who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg's mathematical interests. It consists of more than 25 invited and peerreviewed original research papers written by his former students, coauthors and friends. Included are contributions to single and multivariable operator theory, commutative and noncommutative Banach algebra theory, the theory of matrix polynomials and analytic vectorvalued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.
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QA329 .P36 2012  Unknown 
 Canuto, C.
 Milano : SpringerVerlag Italia, c2008.
 Description
 Book — x, 543 p. : ill.
 Cannarsa, Piermarco.
 Milano : Springer, c2008.
 Description
 Book — xii, 268 p.
54. Complex Convexity and Analytic Functionals [2004]
 Andersson, Mats, 1957
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2004.
 Description
 Book — 1 online resource (xi, 164 pages).
 Summary

 1 Convexity in Real Projective Space. 1.1 Convexity in real affine space. 1.2 Real projective space. 1.3 Convexity in real projective space. 2 Complex Convexity. 2.1 Linearly convex sets. 2.2 ?convexity: Definition and examples. 2.3 ?convexity: Duality and invariance. 2.4 Open ?convex sets. 2.5 Boundary properties of ?convex sets. 2.6 Spirally connected sets. 3 Analytic Functionals and the Fantappie Transformation. 3.1 The basic pairing in affine space. 3.2 The basic pairing in projective space. 3.3 Analytic functionals in affine space. 3.4 Analytic functionals in projective space. 3.5 The Fantappie transformation. 3.6 Decomposition into partial fractions. 3.7 Complex Kergin interpolation. 4 Analytic Solutions to Partial Differential Equations. 4.1 Solvability in ?convex sets. 4.2 Solvability and Pconvexity for carriers. References.
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 Edmunds, David E.
 Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
 Description
 Book — 1 online resource (xii, 328 pages).
 Summary

 1 Preliminaries. 2 Hardytype Operators. 3 Banach function spaces. 4 Poincare and Hardy inequalities. 5 Generalised ridged domains. 6 Approximation numbers of Sobolev embeddings. References. Author Index. Notation Index.
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 Laudal, Olav Arnfinn.
 Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
 Description
 Book — 1 online resource (x, 784 pages 37 illustrations) Digital: text file; PDF.
 Summary

 The Legacy of Niels Henrik Abel
 Opening address The Abel Bicentennial Conference University of Oslo, June 3, 2002
 The Life of Niels Henrik Abel
 The Work of Niels Henrik Abel
 The Legacy of Abel in Algebraic Geometry
 Solving Quintics by Radicals
 From Abel to Kronecker: Episodes from 19th Century Algebra
 On the History of the Artin Reciprocity Law in Abelian Extensions of Algebraic Number Fields: How Artin was Led to his Reciprocity Law
 The Italian School of Algebraic Geometry and Abel's Legacy
 From Abel's Heritage: Transcendental Objects in Algebraic Geometry and Their Algebraization
 What is Abel's Theorem Anyway?
 On Abel's Hyperelliptic Curves
 Formal Deformation of Chow Groups
 An Analogue of Abel's Theorem
 Arithmetic Questions Related to Rationally Connected Varieties
 Hyperbolicity in Complex Geometry
 AbelRadon Transform and Applications
 Abel Transform and Integral Geometry
 Abel's Inverse Problem and Inverse Scattering
 Residues and Dmodules
 Algebraic Equations and Hypergeometric Series
 Dirichlet Series and Functional Analysis
 Real Multiplication and Noncommutative Geometry
 On the Quantum Cohomology of Homogeneous Varieties
 Quantum Principal Bundles up to Homotopy Equivalence
 Noncommutative Crepant Resolutions
 Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra.
57. Proceedings of the International Conference on Stochastic Analysis and Applications : Hammamet, 2001 [2004]
 Albeverio, Sergio.
 Dordrecht : Springer Netherlands, 2004.
 Description
 Book — 1 online resource (ix, 349 pages)
 Summary

 Mathematical aspects of decoherence induced classicality in quantum systems. Hankel operators on SegalBargmann spaces. Malliavin calculus and real Bott periodicity. Heat equation associated with Levy laplacian. Zetaregularized traces versus the Wodzicki residue as tools in quantum field theory and infinite dimensional geometry. Quantum stochastic calculus applied to path spaces over Lie groups. Martingale approximation for selfintersection local time of brownian motion. Ito formula for generalized functionals of brownian bridge. Fock space operator valued martingale convergence. Stochastic integration for compensated Poisson measures and the LevyIto formula. Exponential ergodicity of classical and quantum Markov birth and death semigroups. Asymptotic flux across hypersurfaces for diffusion processes. Reflected backward stochastic differential equation with superlinear growth. Semidynamical systems with the same order relation. Infinitedimensional Lagrange problem and application to stochastic processes. On portfolio separation in the Merton problem with bankruptcy or default. Square of white noise unitary evolutions on boson Fock space. Numerical solution of Wick stochastic differential equations.
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 Taira, Kazuaki.
 Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
 Description
 Book — 1 online resource (xi, 340 pages).
 Summary

 Preface Introduction and Main Results
 Chapter 1 Theory of Semigroups Section 1.1 Banach Space Valued Functions Section 1.2 Operator Valued Functions Section 1.3 Exponential Functions Section 1.4 Contraction Semigroups Section 1.5 Analytic Semigroups
 Chapter 2 Markov Processes and Semigroups Section 2.1 Markov Processes Section 2.2 Transition Functions and Feller Semigroups Section 2.3 Generation Theorems for Feller Semigroups Section 2.4 Borel Kernels and the Maximum Principle
 Chapter 3 Theory of Distributions Section 3.1 Notation Section 3.2 L^p Spaces Section 3.3 Distributions Section 3.4 The Fourier Transform Section 3.5 Operators and Kernels Section 3.6 Layer Potentials Subsection 3.6.1 The Jump Formula Subsection 3.6.2 Single and Double Layer Potentials Subsection 3.6.3 The Green Representation Formula
 Chapter 4 Theory of PseudoDifferential Operators Section 4.1 Function Spaces Section 4.2 Fourier Integral Operators Subsection 4.2.1 Symbol Classes Subsection 4.2.2 Phase Functions Subsection 4.2.3 Oscillatory Integrals Subsection 4.2.4 Fourier Integral Operators Section 4.3 PseudoDifferential Operators Section 4.4 Potentials and PseudoDifferential Operators Section 4.5 The Transmission Property Section 4.6 The Boutet de Monvel Calculus Appendix A Boundedness of PseudoDifferential Operators Section A.1 The LittlewoodPaley Series Section A.2 Definition of Sobolev and Besov Spaces Section A.3 NonRegular Symbols Section A.4 The L^p Boundedness Theorem Section A.5 Proof of Proposition A.1 Section A.6 Proof of Proposition A.2
 Chapter 5 Elliptic Boundary Value Problems Section 5.1 The Dirichlet Problem Section 5.2 Formulation of a Boundary Value Problem Section 5.3 Reduction to the Boundary
 Chapter 6 Elliptic Boundary Value Problems and Feller Semigroups Section 6.1 Formulation of a Problem Section 6.2 Transversal Case Subsection 6.2.1 Generation Theorem for Feller Semigroups Subsection 6.2.2 Sketch of Proof of Theorem 6.1 Subsection 6.2.3 Proof of Theorem 6.15 Section 6.3 NonTransversal Case Subsection 6.3.1 The Space C_0( \ M) Subsection 6.3.2 Generation Theorem for Feller Semigroups Subsection 6.3.3 Sketch of Proof of Theorem 6.20 Appendix B Unique Solvability of PseudoDifferential Operators
 Chapter 7 Proof of Theorem 1 Section 7.1 Regularity Theorem for Problem (0.1) Section 7.2 Uniqueness Theorem for Problem (0.1) Section 7.3 Existence Theorem for Problem (0.1) Subsection 7.3.1 Proof of Theorem 7.7 Subsection 7.3.2 Proof of Proposition 7.10
 Chapter 8 Proof of Theorem 2
 Chapter 9 A Priori Estimates
 Chapter 10 Proof of Theorem 3 Section 10.1 Proof of Part (i) of Theorem 3 Section 10.2 Proof of Part (ii) of Theorem 3
 Chapter 11 Proof of Theorem 4, Part (i) Section 11.1 Sobolev's Imbedding Theorems Section 11.2 Proof of Part (i) of Theorem 4
 Chapter 12 Proofs of Theorem 5 and Theorem 4, Part (ii) Section 12.1 Existence Theorem for Feller Semigroups Section 12.2 Feller Semigroups with Reflecting Barrier Section 12.3 Proof of Theorem 5 Section 12.4 Proof of Part (ii) of Theorem 4
 Chapter 13 Boundary Value Problems for Waldenfels Operators Section 13.1 Formulation of a Boundary Value Problem Section 13.2 Proof of Theorem 6 Section 13.3 Proof of Theorem 7 Section 13.4 Proof of Theorem 8 Section 13.5 Proof of Theorem 9 Section 13.6 Concluding Remarks.
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 Baird, P. (Paul)
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2004.
 Description
 Book — 1 online resource (XVII, 148 pages).
 Summary

 Preface
 Introduction
 Part I: Bubbling Phenomena
 Contributions by E. Hebey, T. De Pauw and R. Hardt, P. Topping
 Part II: Evolution of Maps and Metrics
 Contributions by N. Hungerbhler, D. Knopf, A. Gastel and M. Kronz, C. Mantegazza
 Part III: Harmonic Mappings in Special Geometries
 Contributions by S. Nishikawa, C. Mese.
60. Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics [2003]
 Maergoiz, L. S.
 Second edition, rev. and enlarged.  Dordrecht : Springer Netherlands, 2003.
 Description
 Book — 1 online resource (xxiv, 362 pages).
 Summary

 From the Editors of the Russian Edition. Foreword to the Russian Edition. Introduction.
 1: Preliminary. 1.1. On the growth of nondecreasing functions of one variable. 1.2. Semicontinuous functions. 1.3. Convex sets and associated functions. 1.4. Convex functions. 1.5. Duality of convex functions. 1.6. Asymptotic properties of convex functions. 1.7. Minkowski theorem on convex bodies. 1.8. Plurisubharmonic functions. 1.9. Trigonometrically rhoconvex functions. 1.10. Selected facts about the entire functions of one variable.
 2: A Method of Identifying Homeostasis Relaxation Characteristics. 2.1. Homeostasis system relaxation characteristics and the problem of their identification. 2.2. Algorithm of recovering a quasipolynomial by its moments. 2.3. Algorithm of approximation of discrete functions by quasipolynomials (identification algorithm). 2.4. The case of quasipolynomials of order 2 and
 3. 2.5. The case of warptype homeostasis processes.
 3: Indicator Diagram of an Entire Function of One Variable with Nonnegative indicator. 3.1. Plane rhoconvex sets and the indicator diagram. 3.2. Analog of the Polya theorem for an entire function of order rho NOT= 1 and with nonnegative indicator. 3.3. The generalized Borel polygon of a power series.
 4: Plane Indicator Diagram of Entire Function of Order rho > 0 with the Indicator of General Form. 4.1. Minimal trigonometrically rhoconvex functions. 4.2. Manysheeted diagrams associated with the functions of class Ppi. 4.3. The relationship of the polynomials alpha(z) = zro1 +...+ anzron. 4.4. Plane (ro, alpha)convex sets and the plane indicator diagram of an entire function of order ro greater than
 0.
 5: Spaces of Entire Functions of Order ro greater than 0 with Restrictions on the Indicator. 5.1. Entire function of two variables associated with a polynomial in ro(l). 5.2. The analog of Borel's transformation and realization of the spaces [ro, h(theta)], [ro, h(theta)]. 5.3. Applications of the analog of the Polya theorem.
 6: Geometrical Analysis of Asymptotics of Functions Plurisubharmonic in Cn. 6.1. Simplest properties of functions of classes B, U. 6.2. Various definitions of orders of functions of class U. 6.3. Local APHitype structure for function PHi in U. 6.4. Global APHitype structure for function PHi in U.
 7: Growth Characteristics of Entire Functions (Orders, Types) and Their Applications. 7.1. Relationship between the growth characteristics of an entire function and its Taylor coefficients. 7.2. Existence of entire functions with prescribed growth characteristics. 7.3. The modulus maximum and the maximum term of an entire function: Comparative growth. 7.4. On the growth of the Nevanlinna characteristic for an entire function of several variables.
 8: Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator. 8.1. System of indicators and indicator diagrams of an entire function of several variables. 8.2. Circular sets and their properties.
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