<電子ブック>
Hermitian Analysis : From Fourier Series to Cauchy-Riemann Geometry

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from analysis. It begins with Fourier series, continues with Hilbert spaces, d...iscusses the Fourier transform on the real line, and then turns to the heart of the book: geometric considerations in several complex variables. The final chapter includes complex differential forms, geometric inequalities from one and several complex variables, finite unitary groups, proper mappings, and naturally leads to the Cauchy-Riemann geometry of the unit sphere. The book thus takes the reader from the unit circle to the unit sphere. 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 CR Geometry. It will also be useful for students in physics and engineering, as it includes topics in harmonic analysis arising in these subjects. The inclusion of an appendix and more than 270 exercises makes this book suitable for a capstone undergraduate Honors class.続きを見る
目次 Preface
Introduction to Fourier series
Hilbert spaces
Fourier transform on R
Geometric considerations
Appendix
References
Index. .
冊子版へのリンク
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2013 English/International

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28