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＜電子ブック＞
Measure-Theoretic Calculus in Abstract Spaces : On the Playground of Infinite-Dimensional Spaces / by Zigang Pan

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XXVII, 933 p. 1 illus : online resource
著者標目	*Pan, Zigang author SpringerLink (Online service)
件　名	LCSH:Measure theory LCSH:Control engineering LCSH:Functional analysis FREE:Measure and Integration FREE:Control and Systems Theory FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-21912-2

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