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    3. Measure-Theoretic Calculus in Abstract Spaces

    Measure-Theoretic Calculus in Abstract Spaces

    Posted By: hill0
    Date: 24 Jan 2024 13:21:22
    Measure-Theoretic Calculus in Abstract Spaces

    Measure-Theoretic Calculus in Abstract Spaces: On the Playground of Infinite-Dimensional Spaces
    English | 2024 | ISBN: 3031219112 | 933 Pages | PDF EPUB (True) | 170 MB

    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.

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