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1. A course in abstract harmonic analysis [2016]
 Folland, G. B., author.
 Second edition.  Boca Raton : Taylor & Francis, 2016.
 Description
 Book — 1 online resource : text file, PDF.
 Summary

 Banach Algebras and Spectral Theory Banach Algebras: Basic Concepts Gelfand Theory Nonunital Banach Algebras The Spectral Theorem Spectral Theory of *Representations Von Neumann Algebras Notes and References Locally Compact Groups Topological Groups Haar Measure Interlude: Some Technicalities The Modular Function Convolutions Homogeneous Spaces Notes and References Basic Representation Theory Unitary Representations Representations of a Group and Its Group Algebra Functions of Positive Type Notes and References Analysis on Locally Compact Abelian Groups The Dual Group The Fourier Transform The Pontrjagin Duality Theorem Representations of Locally Compact Abelian Groups Closed Ideals in L1(G) Spectral Synthesis The Bohr Compactification Notes and References Analysis on Compact Groups Representations of Compact Groups The PeterWeyl Theorem Fourier Analysis on Compact Groups Examples Notes and References Induced Representations The Inducing Construction The Frobenius Reciprocity Theorem Pseudomeasures and Induction in Stages Systems of Imprimitivity The Imprimitivity Theorem Introduction to the Mackey Machine Examples: The Classics More Examples, Good and Bad Notes and References Further Topics in Representation Theory The Group C* Algebra The Structure of the Dual Space Tensor Products of Representations Direct Integral Decompositions The Plancherel Theorem Examples Appendices A Hilbert Space Miscellany TraceClass and HilbertSchmidt Operators Tensor Products of Hilbert Spaces VectorValued Integrals.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
2. Fourier analysis and its applications [1992]
 Folland, G. B.
 Providence, R.I. : American Mathematical Society, [2009?]
 Description
 Book — x, 433 p. : ill. ; 24 cm.
 Summary

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
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QA403.5 .F65 2009  Unknown 
3. A guide to advanced real analysis [2009]
 Folland, G. B.
 [Washington, D.C.] : Mathematical Association of America, c2009.
 Description
 Book — x, 107 p. : ill. ; 24 cm.
 Summary

 Preface Prologue: notation, terminology, and set theory Numbers sets and mappings Zorn's lemma
 1. Topology
 2. Measure and integration: general theory
 3. Measure and integration
 4. Rudiments of functional analysis
 5. Function spaces
 6. Topics in analysis on Euclidean space Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
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Stacks  
QA300 .F66 2009  Unknown 
4. A guide to advanced real analysis [2009]
 Folland, G. B., author.
 [Washington, D.C.] : Mathematical Association of America, ©2009.
 Description
 Book — 1 online resource (x, 107 pages) : illustrations.
 Summary

 Preface Prologue: notation, terminology, and set theory Numbers sets and mappings Zorn's lemma
 1. Topology
 2. Measure and integration: general theory
 3. Measure and integration
 4. Rudiments of functional analysis
 5. Function spaces
 6. Topics in analysis on Euclidean space Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Folland, G. B.
 Providence, R.I. : American Mathematical Society, c2008.
 Description
 Book — xi, 325 p. : ill. ; 27 cm.
 Summary

 Prologue Review of prequantum physics Basic quantum mechanics Relativistic quantum mechanics Free quantum fields Quantum fields with interactions Renormalization Functional integrals Gauge field theories Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA3 .A4 V.149  Unknown 
 Folland, G. B.
 2nd ed.  New York ; Chichester : John Wiley, c1999.
 Description
 Book — xiv, 386 p. : ill. ; 25 cm.
 Summary

 Measures. Integration. Signed Measures and Differentiation. Point Set Topology. Elements of Functional Analysis. L p Spaces. Radon Measures. Elements of Fourier Analysis. Elements of Distribution Theory. Topics in Probability Theory. More Measures and Integrals. Bibliography. Indexes.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .F67 1999  Unknown 
QA300 .F67 1999  Unknown 
7. A course in abstract harmonic analysis [1995]
 Folland, G. B.
 Boca Raton : CRC Press, 1995.
 Description
 Book — 276 p.
 Summary

 Banach Algebras and Spectral Theory Banach Algebras: Basic Concepts Gelfand Theory Nonunital Banach Algebras The Spectral Theorem Spectral Theory of *Representations Notes and References Locally Compact Groups Topological Groups Haar Measure Interlude: Some Technicalities The Modular Function Convolutions Homogeneous Spaces Notes and References Basic Representation Theory Unitary Representations Representations of a Group and its Group Algebra Functions of Positive Type Notes and References Analysis on Locally Compact Abelian Groups The Dual Group The Fourier Transform The Pontrjagin Duality Theorem Representations of Locally Compact Abelian Groups Closed Ideals in L1(G) Spectral Synthesis The Bohr Compactification Notes and References Analysis on Compact Groups Representations of Compact Groups The PeterWeyl Theorem The Fourier Transform on Compact Groups Examples Notes and References Induced Representations The Inducing Construction The Frobenius Reciprocity Theorem Pseudomeasures and Induction in Stages Systems of Imprimitivity The Imprimitivity Theorem Introduction to the Mackey Machine Examples Notes and References Further Topics in Representation Theory The Group C* Algebra The Structure of the Dual Space Tensor Products Direct Integral Decompositions The Plancherel Theorem Examples
 Appendix 1. Hilbert Space Miscellany
 Appendix 2. TraceClass and HilbertSchmidt Operators
 Appendix 3. VectorValued Integrals Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
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QA403 .F58 1995  Available 
 Folland, G. B.
 2nd ed.  Princeton, N.J. : Princeton University Press, c1995.
 Description
 Book — xi, 324 p. : ill. ; 24 cm.
 Summary

 Local Existence Theory The Laplace Operator Layer Potentials The Heat Operator The Wave Operator The L2 Theory of Derivatives Elliptic Boundary Value Problems Pseudodifferential Operators.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA374 .F54 1995  Unknown 
9. Harmonic analysis in phase space [1989]
 Folland, G. B.
 Princeton, N.J. : Princeton University Press, 1989.
 Description
 Book — ix, 277 p. : ill. ; 25 cm.
 Summary

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
(source: Nielsen Book Data)
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Serials  
Shelved by Series title NO.122  Unknown 
 Folland, G. B.
 New York : Wiley, 1984.
 Description
 Book — xiv, 350 p. ; 25 cm.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .F67 1984  Unknown 
11. Lectures on partial differential equations [1983]
 Folland, G. B.
 Berlin ; New York : Published for the Tata Institute of Fundamental Research, Bombay [by] SpringerVerlag, 1983.
 Description
 Book — 160 p. : ill. ; 24 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request 
QA374 .F675  Available 
12. Hardy spaces on homogeneous groups [1982]
 Folland, G. B.
 Princeton, N.J. : Princeton University Press ; [Tokyo] : University of Tokyo Press, 1982.
 Description
 Book — 284 p. ; 24 cm.
 Online
SAL3 (offcampus storage)
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QA331.5 .F64  Available 
 Folland, G. B.
 Princeton, N.J. : Princeton University Press, 1976.
 Description
 Book — vi, 349 p. ; 23 cm.
 Online
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QA374 .F54  Available 
 Folland, G. B.
 Princeton, N.J., Princeton University Press, 1972.
 Description
 Book — viii, 146 p. 24 cm.
 Summary

This book is based on the notes from lectures given by the second author at Princeton University in the year 197071, which were subsequently expanded and revised by the first author.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.75  Unknown 
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