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1. Gaussian capacity analysis [2018]
 Liu, Liguang, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 108 pages ; 24 cm.
 Summary

 Gaussian Sobolev pspace. Gaussian Campanato (p, k)class. Gaussian pcapacity. Restriction of Gaussian Sobolev pspace. Gaussian 1capacity to Gaussian capacity. Gaussian BVcapacity.
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Shelved by Series title V.2225  Unknown 
 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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 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 
 Tanabe, Hiroki, author.
 First edition  London : Taylor and Francis, 2017
 Description
 Book — 1 online resource : text file, PDF
 Summary

 Chapter 1 Preliminaries / Hiroki Tanabe
 chapter 2 Singular Integrals / Hiroki Tanabe
 chapter 3 Sobolev Spaces / Hiroki Tanabe
 chapter 4 Elliptic Boundary Value Problems / Hiroki Tanabe
 chapter 5 Elliptic Boundary Value Problems (Continued) / Hiroki Tanabe
 chapter 6 Parabolic Evolution Equations / Hiroki Tanabe
 chapter 7 Hyperbolic Evolution Equations / Hiroki Tanabe
 chapter 8 Retarded Functional Differential Equations / Hiroki Tanabe
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5. The limits of resolution [2017]
 De Villiers, Geoffrey, author.
 Boca Raton : CRC Press, Taylor & Francis Group, [2017]
 Description
 Book — 1 online resource (xxii, 546 pages) : illustrations, portraits.
 Summary

 Early concepts of resolution. Modern concepts of resolution. Elementary functional analysis. Resolution and illposedness.Optimisation. Deterministic methods for linear inverse problems. Convolution equations and deterministic spectral analysis. Statisticalmethods and resolution. Statistical spectral analysis. Resolution in optical microscopy. Some further optical applications. Appendixes.The origin of spectacles. Set theory and mappings. Methods for finding the eigenvalue and singularvalue decompositions. Topologicalspaces. Basic probability theory.
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6. Analysis : from concepts to applications [2016]
 Penot, JeanPaul, 1942
 Switzerland : Springer, 2016.
 Description
 Book — 1 online resource.
 Summary

 Sets, Orders, Relations and Measures. Encounters With Limits. Elements of Functional Analysis. Hilbert Spaces. The Power of Differential Calculus. A Touch of Convex Analysis. Integration. Differentiation and Integration. Partial Differential Equations. Evolution Problems. References. Index.
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 Alvarado, Ryan, author.
 Cham : Springer, [2015]
 Description
 Book — viii, 486 pages : illustrations (some color) ; 24 cm.
 Summary

 Introduction.  Geometry of QuasiMetric Spaces. Analysis on Spaces of Homogeneous Type. Maximal Theory of Hardy Spaces. Atomic Theory of Hardy Spaces. Molecular and Ionic Theory of Hardy Spaces. Further Results. Boundedness of Linear Operators Defined on Hp(X). Besov and TriebelLizorkin Spaces on AhlforsRegular QuasiMetric Spaces.
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Shelved by Series title V.2142  Unknown 
 [Basel] : Birkhäuser ; Cham ; New York : Springer, [2015]
 Description
 Book — vii, 496 pages : illustrations ; 25 cm.
 Summary

 Preface
 Polynomial internal and external stability of wellposed linear systems / E.M. Ait Benhassi, S. Boulite, L. Maniar and R. Schnaubelt
 Minimal primal ideals in the multiplier algebra of a Co(X)algebra / R.J. Archbold and D.W.B. Somerset
 Countable spectrum, transfinite induction and stability / W. Arendt
 Maximal regularity in interpolation spaces for secondorder cauchy problems / C.J.K. Batty, R. Chill and S. Srivastava
 Stability of quantum dynamical semigroups / B. V. Rajarama Bhat and S. Srivastava
 Families of operators describing diffusion through permeable membranes / A. Bobrowski
 Multiscale unique continuation properties of eigenfunctions / D. Borisov, I. Nakić, C. Rose, M. Tautenhahn and I. Veselić
 Dichotomy results for norm estimates in operator semigroups / I. Chalendar, J. Esterle and J.R. Partington
 Estimates on nonuniform stability for bounded semigroups / T. Duyckaerts
 Convergence of the dirichlettoneumann operator on varying domains / A.F.M. ter Elst and E.M. Ouhabaz
 A banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups / J. Esterle and E. Fašangová
 Regularity properties of sectorial operators : counterexamples and open problems / St. Fackler
 Global existence results for the navierstokes equations in the rotational framework in fourierbesov spaces / D. Fang, B. Han and M. Hieber
 Some operator bounds employing complex interpolation revisited / F. Gesztesy, Y. Latushkin, F. Sukochev and Yu. Tomilov
 Powerbounded invertible operators and invertible isometries on Lp spaces / T.A. Gillespie
 Generation of subordinated holomorphic semigroups via yosida's theorem / A. Gomilko and Yu. Tomilov
 A quantitative coulhonlamberton theorem / T.P. Hytonen
 An analytic family of contractions generated by the volterra operator / L. Khadkhuu, D. Tsedenbayar and J. Zemánek
 Lattice dilations of bistochastic semigroups / L.J. Konrad
 Domains of fractional powers of matrixvalued operators : a general approach / I. Lasiecka and R. Triggiani
 General mazurUlam type theorems and some applications / L. Molnár
 Traces of nonregular vector fields on lipschitz domains / S. Monniaux
 The LpPoincaré inequality for analytic ornsteinuhlenbeck semigroups / J. van Neerven
 A murrayvon neumann type classification of C*algebras / C.K. Ng and N.C. Wong
 Wellposedness via monotonicity : an overview / R. Picard, S. Trostorff and M. Waurick
 Perturbations of exponential dichotomies for hyperbolic evolution equations / J. Prüss
 Gaussian and nongaussian behaviour of diffusion processes / D.W. Robinson
 Functional calculus for C₀semigroups using infinitedimensional systems theory / F.L. Schwenninger and H. Zwart
 On selfadjoint extensions of symmetric operators / J. Voigt.
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QA329 .O567 2015  Unknown 
 Haase, Markus, 1970 author.
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — xviii, 372 pages : illustrations ; 27 cm.
 Summary

 Inner product spaces Normed spaces Distance and approximation Continuity and compactness Banach spaces The contraction principle The Lebesgue spaces Hilbert space fundamentals Approximation theory and Fourier analysis Sobolev spaces and the Poisson problem Operator theory I Operator theory II Spectral theory of compact selfadjoint operators Applications of the spectral theorem Baire's theorem and its consequences Duality and the HahnBanach theorem Historical remarks Background The completion of a metric space Bernstein's proof of Weierstrass' theorem Smooth cutoff functions Some topics from Fourier analysis General orthonormal systems Bibliography Symbol index Subject index Author index.
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QA320 .H23 2014  Unknown 
 International Conference on Harmonic Analysis and Partial Differential Equations (9th : 2012 : San Lorenzo del Escorial, Spain)
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — viii, 178 pages ; 26 cm.
 Summary

 J. Bennett  Aspects of multilinear harmonic analysis related to transversality F. Bernicot  Multifrequency Calderï¿½nZygmund analysis and connexion to BochnerRiesz multipliers O. Beznosova, J. C. Moraes, and M. C. Pereyra  Sharp bounds for t Haar multipliers on L 2 M. Bownik and J. Jasper  Spectra of frame operators with prescribed frame norms J. Fan and T. Ozawa  Regularity criteria for Hallmagnetohydrodynamics and the spacetime monopole equation in Lorenz gauge T. P. Hytï¿½nen  The A 2 theorem: Remarks and complements M. Junge, T. Mei, and J. Parcet  An invitation to harmonic analysis associated with semigroups of operators J. M. Martell, D. Mitrea, I. Mitrea, and M. Mitrea  The higher order regularity Dirichlet problem for elliptic systems in the upperhalf space E. Milakis, J. Pipher, and T. Toro  Perturbations of elliptic operators in chord arc domains A. RosUn  Cauchy nonintegral formulas.
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QA403 .I58 2012  Unknown 
 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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QA403 .A5275 2012  Unknown 
12. Derivatives of inner functions [2013]
 Mashreghi, Javad.
 New York : Springer, 2013.
 Description
 Book — 1 online resource (x, 169 pages) : illustrations.
 Summary

 Inner Functions
 The Exceptional Set of an Inner Function
 The Derivative of Finite Blaschke Products
 Angular Derivative
 HpMeans of S'
 BpMeans of S'
 The Derivative of a Blaschke Product
 HpMeans of B'
 BpMeans of B'
 The Growth of Integral Means of B'.
 Principes d'analyse Fonctionnelle. English
 Willem, Michel, author.
 New York : Birkhäuser, 2013.
 Description
 Book — xiii, 213 pages : illustrations ; 24 cm.
 Summary

 Preface. The Integral. Norm. Lebesgue Spaces. Duality. Sobolev Spaces. Capacity. Elliptic Problems. Appendix. Epilogue. References. Index of Notations. Index.
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QA320 .W5713 2013  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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15. 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 
 Brézis, H. (Haim)
 New York ; London : Springer, ©2011.
 Description
 Book — 1 online resource (xiii, 599 pages). Digital: text file; PDF.
 Summary

 Preface.
 1. The HahnBanach Theorems. Introduction to the Theory of Conjugate Convex Functions.
 2. The Uniform Boundedness Principle and the Closed Graph Theorem. Unbounded Operators. Adjoint. Characterization of Surjective Operators.
 3. Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity.
 4. L^p Spaces.
 5. Hilbert Spaces.
 6. Compact Operators. Spectral Decomposition of SelfAdjoint Compact Operators.
 7. The HilleYosida Theorem.
 8. Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension.
 9. Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions.
 10. Evolution Problems: The Heat Equation and the Wave Equation.
 11. Some Complements. Problems. Solutions of Some Exercises and Problems. Bibliography. Index.
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 Canuto, C.
 Milano : SpringerVerlag Italia, c2008.
 Description
 Book — x, 543 p. : ill.
 Cannarsa, Piermarco.
 Milano : Springer, c2008.
 Description
 Book — xii, 268 p.
 Prairie Analysis Seminar (5th : 2005 : Kansas State University)
 Providence, R.I. : American Mathematical Society, c2007.
 Description
 Book — 1 online resource (x, 173 p. : ill).
 Summary

 Improved Painlevé removability for bounded planar quasiregular mappings / Kari Astala, Albert Clop, Joan Mateu, Joan Orobitg and Ignacio UriarteTuero
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08205 Timefrequency estimates for pseudodifferential operators / Árpád Bényi and Kasso A. Okoudjou
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08206 Extrapolation of operators defined on domains and boundary respecting $A_p$ weights / Ryan Berndt
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08207 Existence, uniqueness and regularity of the free boundary in the HeleShaw problem with a degenerate phase / Ivan A. Blank, Marianne K. Korten and Charles N. Moore
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08208 On blowup solutions of NLS with low regularity initial data / J. Colliander
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08209 Are $L^2$bounded homogeneous singular integrals necessarily $L^p$bounded? / Loukas Grafakos, Petr Honzík and Dmitry Ryabogin
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08210 A note on Chebyshev polynomials and finite difference wave equation / Anatolii Grinshpan
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08211 Complexvalued solutions of the BenjaminOno equation / Alexandru D. Ionescu and Carlos E. Kenig
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08212 The 2D quasigeostrophic equations in the Sobolev space / Ning Ju
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08213 Convex functions and quasiconformal mappings / Leonid V. Kovalev and Diego Maldonado
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08214 Volterra integral inclusions: existence of solutions / Priscilla Supnet Macansantos
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08215 Bellman function and the $H^1$$\rm BMO$ duality / Leonid Slavin and Alexander Volberg
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08216 Weights and Hölder norms for solutions to a second order elliptic Dirichlet problem on nonsmooth domains / Caroline Sweezy
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08217 Hankel operators and VMO on the bidisc / Erin Terwilleger
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08218 Necessary conditions for optimization problems governed by differential algebraic inclusions / Lianwen Wang
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08219
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 Partielle Differentialgleichungen der Geometrie und der Physik. English
 Sauvigny, Friedrich.
 Berlin : Springer, 2006.
 Description
 Book — xiv, 437 p. : ill.
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