书目名称 | Research Topics in Analysis, Volume I | 副标题 | Grounding Theory | 编辑 | Shouchuan Hu,Nikolaos S. Papageorgiou | 视频video | | 概述 | Presents a set of the most relevant tools of modern analysis.Covers the foundations of modern analysis in a compact and didactic way.Gives young researchers all the techniques they need to explore thi | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | 图书封面 |  | 描述 | This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed..Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. .Eachchapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the | 出版日期 | Textbook 2022 | 关键词 | functional analysis; convex analysis; measure theory; Banach space theory; function spaces; Lebesgue spac | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-17837-5 | isbn_softcover | 978-3-031-17839-9 | isbn_ebook | 978-3-031-17837-5Series ISSN 1019-6242 Series E-ISSN 2296-4894 | issn_series | 1019-6242 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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