A course in analysis: Vol. V Functional analysis, some operator theory, theory of distributions
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokyo
World Scientific
[2020]
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xxii, 831 Seiten Illustrationen |
| ISBN: | 9789811216336 9789811215490 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents Preface v Introduction vii List of Symbols xvii Part 12: Functional Analysis 1 1 What is Functional Analysis about? 3 2 Infinite Dimensional Vector Spaces 13 3 Banach Spaces 27 4 Linear Operators and Linear Functionals 57 5 The Dual Space 83 6 The Basic Principles of Functional Analysis 127 7 Adjoint Operators and Fredholm Theory 143 8 Hilbert Spaces and Operators in Hilbert Spaces 177 9 Unbounded Operators in Hilbert Spaces 217 10 Spectral Theory. Part I: Gelfand-Naimark Theory 239 11 Spectral Theory. Part II: Self-adjoint Operators 263 12 Topological Vector Spaces 309 13 Convexity and Integral Representations 339 14 Selected Topics 367 xiii
A COURSE IN ANALYSIS Part 13: Some Operator Theory 399 15 Some Integral Operators 401 16 One-Parameter Semigroups of Operators 427 17 Positivity Preserving Operators and Markovian Semigroups 467 18 On Regular Sturm-Liouville Problems 503 19 Sobolev Spaces. A First Encounter. 515 20 Operators Induced by the Dirichlet Problem 541 21 Selected Topics 561 Part 14: Distributions 585 22 Some Function Spaces as Fréchet Spaces 587 23 Distributions in the Sense of Schwartz 599 24 Further Properties of Distributions 619 25 Tempered Distributions and the Fourier Transform 637 26 Tensor Products and the Kernel Theorem 655 27 Calderon-Zygmund Operators 669 Appendices 691 Appendix I: Completeness 693 Appendix II: Nets, Convergence and Continuity 701 Appendix III: On the Riesz Representation Theorem 705 Solutions to Problems of Part 12 713 XIV
CONTENTS Solutions to Problems of Part 13 759 Solutions to Problems of Part 14 785 References 809 Mathematicians Contributing to Analysis (Continued) 819 Subject Index Я91 XV
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| adam_txt |
Contents Preface v Introduction vii List of Symbols xvii Part 12: Functional Analysis 1 1 What is Functional Analysis about? 3 2 Infinite Dimensional Vector Spaces 13 3 Banach Spaces 27 4 Linear Operators and Linear Functionals 57 5 The Dual Space 83 6 The Basic Principles of Functional Analysis 127 7 Adjoint Operators and Fredholm Theory 143 8 Hilbert Spaces and Operators in Hilbert Spaces 177 9 Unbounded Operators in Hilbert Spaces 217 10 Spectral Theory. Part I: Gelfand-Naimark Theory 239 11 Spectral Theory. Part II: Self-adjoint Operators 263 12 Topological Vector Spaces 309 13 Convexity and Integral Representations 339 14 Selected Topics 367 xiii
A COURSE IN ANALYSIS Part 13: Some Operator Theory 399 15 Some Integral Operators 401 16 One-Parameter Semigroups of Operators 427 17 Positivity Preserving Operators and Markovian Semigroups 467 18 On Regular Sturm-Liouville Problems 503 19 Sobolev Spaces. A First Encounter. 515 20 Operators Induced by the Dirichlet Problem 541 21 Selected Topics 561 Part 14: Distributions 585 22 Some Function Spaces as Fréchet Spaces 587 23 Distributions in the Sense of Schwartz 599 24 Further Properties of Distributions 619 25 Tempered Distributions and the Fourier Transform 637 26 Tensor Products and the Kernel Theorem 655 27 Calderon-Zygmund Operators 669 Appendices 691 Appendix I: Completeness 693 Appendix II: Nets, Convergence and Continuity 701 Appendix III: On the Riesz Representation Theorem 705 Solutions to Problems of Part 12 713 XIV
CONTENTS Solutions to Problems of Part 13 759 Solutions to Problems of Part 14 785 References 809 Mathematicians Contributing to Analysis (Continued) 819 Subject Index Я91 XV |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-03T15:04:09Z |
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| institution | BVB |
| isbn | 9789811216336 9789811215490 |
| language | English |
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| physical | xxii, 831 Seiten Illustrationen |
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| spelling | Jacob, Niels 1955- Verfasser (DE-588)141510129 aut A course in analysis Vol. V Functional analysis, some operator theory, theory of distributions Niels Jacob, Kristian P. Evans (Swansea University, UK) New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokyo World Scientific [2020] xxii, 831 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Evans, Kristian P. Verfasser (DE-588)1163038571 aut (DE-604)BV043183538 5 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032238003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jacob, Niels 1955- Evans, Kristian P. A course in analysis |
| title | A course in analysis |
| title_auth | A course in analysis |
| title_exact_search | A course in analysis |
| title_exact_search_txtP | A course in analysis |
| title_full | A course in analysis Vol. V Functional analysis, some operator theory, theory of distributions Niels Jacob, Kristian P. Evans (Swansea University, UK) |
| title_fullStr | A course in analysis Vol. V Functional analysis, some operator theory, theory of distributions Niels Jacob, Kristian P. Evans (Swansea University, UK) |
| title_full_unstemmed | A course in analysis Vol. V Functional analysis, some operator theory, theory of distributions Niels Jacob, Kristian P. Evans (Swansea University, UK) |
| title_short | A course in analysis |
| title_sort | a course in analysis functional analysis some operator theory theory of distributions |
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