| 书目名称 | Functional Analysis, Spectral Theory, and Applications | | 编辑 | Manfred Einsiedler,Thomas Ward | | 视频video | | | 概述 | Presents core material in functional analysis alongside several advanced topics.Includes over 400 exercises, with essential exercises marked as such.Gives a careful introduction to amenability, proper | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Textbook 2017 | | 关键词 | functional analysis; spectral theory of Banach algebras; Pontryagin duality; amenable groups; property ( | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-58540-6 | | isbn_softcover | 978-3-319-86423-5 | | isbn_ebook | 978-3-319-58540-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 18:55:22
