ENGLISH

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry

By John P. D'Angelo (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2013
ISBN
978-1-4614-8525-4, 978-1-4614-8526-1
DOI
10.1007/978-1-4614-8526-1
Language
english
Format
PDF
Filesize
2 MB (2299167 bytes)
Series
Cornerstones
Edition
1
Pages
203\211
Orientation
yes
Scanned
yes
Time added
2013-09-29 08:40:16
Fourier Analysis; Differential Geometry; Ordinary

Description

​​Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry 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 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 CR Geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.​

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