<電子ブック>
Functional Analysis, Spectral Theory, and Applications / by Manfred Einsiedler, Thomas Ward
(Graduate Texts in Mathematics. ISSN:21975612 ; 276)
版 | 1st ed. 2017. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2017 |
大きさ | XIV, 614 p. 33 illus : online resource |
著者標目 | *Einsiedler, Manfred author Ward, Thomas author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis LCSH:Differential equations LCSH:Harmonic analysis LCSH:Number theory LCSH:Dynamical systems FREE:Functional Analysis FREE:Differential Equations FREE:Abstract Harmonic Analysis FREE:Number Theory FREE:Dynamical Systems |
一般注記 | Motivation -- Norms and Banach Spaces -- Hilbert Spaces, Fourier Series, Unitary Representations -- Uniform Boundedness and Open Mapping Theorem -- Sobolev Spaces and Dirichlet’s Boundary Problem -- Compact Self-Adjoint Operators, Laplace Eigenfunctions -- Dual Spaces -- Locally Convex Vector Spaces -- Unitary Operators and Flows, Fourier Transform -- Locally Compact Groups, Amenability, Property (T) -- Banach Algebras and the Spectrum -- Spectral Theory and Functional Calculus -- Self-Adjoint and Symmetric Operators -- The Prime Number Theorem -- Appendix A: Set Theory and Topology -- Appendix B: Measure Theory -- Hints for Selected Problems -- Notes. This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics HTTP:URL=https://doi.org/10.1007/978-3-319-58540-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783319585406 |
|
電子リソース |
|
EB00203079 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000119629 |
ISBN | 9783319585406 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降