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Hermitian analysis :from Fourier ser...

D'Angelo, John P.,

Hermitian analysis :from Fourier series to Cauchy-Riemann geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Hermitian analysis :John P. D'Angelo.
其他題名:	from Fourier series to Cauchy-Riemann geometry /
作者:	D'Angelo, John P.,
出版者:	New York :Birkhauser/Springer,c2013.
面頁冊數:	x, 203 p. :ill. (some col.) ;24 cm.
標題:	Fourier series.
ISBN:	1461485258

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

Hermitian analysis :from Fourier series to Cauchy-Riemann geometry /John P. D'Angelo. - New York :Birkhauser/Springer,c2013. - x, 203 p. :ill. (some col.) ;24 cm. - Cornerstones,2197-182X. - Cornerstones (Birkhäuser Verlag),.

Includes bibliographical references and index.

1. Introduction to Fourier series -- 2. Hilbert spaces -- 3. Fourier transform on R -- 4. Geometric considerations -- 5. Appendix.

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--

ISBN: 1461485258

LCCN: 2013944904Subjects--Topical Terms:

218948
Fourier series.

LC Class. No.: QA404 / .D28 2013

Dewey Class. No.: 515/.2433

Hermitian analysis :from Fourier series to Cauchy-Riemann geometry /
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300 $a x, 203 p. : $b ill. (some col.) ; $c 24 cm.
490 1 $a Cornerstones, $x 2197-182X
504 $a Includes bibliographical references and index.
505 0 $a 1. Introduction to Fourier series -- 2. Hilbert spaces -- 3. Fourier transform on R -- 4. Geometric considerations -- 5. Appendix.
520 $a 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-- $c Source other than Library of Congress.
650 0 $a Fourier series. $3 218948
650 0 $a Harmonic analysis. $3 189705
830 0 $a Cornerstones (Birkhäuser Verlag), $x 2197-182X. $3 736436