书目名称 | Hermitian Analysis | 副标题 | From Fourier Series | 编辑 | John P. D‘Angelo | 视频video | | 概述 | Includes a new chapter that provides an in-depth exploration of Cauchy-Riemann geometry.Uses the concept of orthogonality to unify various mathematical topics.Includes accessible content designed to l | 丛书名称 | Cornerstones | 图书封面 |  | 描述 | This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations. This chapter includes complex differential forms, geometric inequalities from one and several complex variables, and includes some of the author‘s original results. The concept of orthogonality weaves the material into a coherent whole. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of Cauchy-Riemann (CR) geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class..This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere. This chapter builds upon the first edition by presenting recent results about groups associated with CR sphere maps. .From reviews of the first edition:.The present book developed from the teachin | 出版日期 | Textbook 2019Latest edition | 关键词 | Hermitian Analysis; Cauchy-Riemann Geometry; CR geometry; Complex Analysis; Fourier series; Geometric ine | 版次 | 2 | doi | https://doi.org/10.1007/978-3-030-16514-7 | isbn_softcover | 978-3-030-16516-1 | isbn_ebook | 978-3-030-16514-7Series ISSN 2197-182X Series E-ISSN 2197-1838 | issn_series | 2197-182X | copyright | Springer Nature Switzerland AG 2019 |
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