| 书目名称 | Measure-Theoretic Calculus in Abstract Spaces | | 副标题 | On the Playground of | | 编辑 | Zigang Pan | | 视频video | | | 概述 | Provides an encyclopedic treatment of the fundamental topics in real and functional analysis and measure theory.Presents proofs of standard results in the most general abstract settings.Discusses seve | | 图书封面 |  | | 描述 | This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs are illustrated in general abstract settings under rigorous treatment, and numerous ancillary topics are also covered in detail, such as functional analytic treatment of optimization, probability theory, and the theory of Sobolev spaces. Applied mathematicians and researchers working in control theory, operations research, economics, optimization theory, and many other areas will find this text to be a comprehensive and invaluable resource. It can also serve as an analysis textbook for graduate-level students.. | | 出版日期 | Book 2023 | | 关键词 | Measure Theoretic Calculus; Infinite-Dimensional Spaces; Measure Theory; General Integration Theory; Leb | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-21912-2 | | isbn_softcover | 978-3-031-21914-6 | | isbn_ebook | 978-3-031-21912-2 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:39:01
