Hermitian analysis from Fourier series to Cauchy-Riemann geometry John P. D'Angelo

Format:

Book

Author/Creator:

D'Angelo, John P., author.

Series:

Cornerstones (Birkhäuser Verlag) 2197-182X

Cornerstones 2197-182X

Language:

English

Subjects (All):

Fourier series.

Harmonic analysis.

Fourier Analysis.

Medical Subjects:

Fourier Analysis.

Physical Description:

1 online resource

Place of Publication:

New York, New York Birkhäuser 2013

System Details:

text file

PDF

Summary:

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, discusses 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

Contents:

Introduction to Fourier series Hilbert spaces Fourier transform on R Geometric considerations

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed October 1, 2013)

Other Format:

Printed edition:

ISBN:

9781461485261

1461485266

1461485258

9781461485254

OCLC:

860898930

Access Restriction:

Restricted for use by site license