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Harmonic and complex analysis in sev...

Krantz, Steven G.

Harmonic and complex analysis in several variables

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic and complex analysis in several variablesby Steven G. Krantz.
Author:	Krantz, Steven G.
Published:	Cham :Springer International Publishing :2017.
Description:	xii, 424 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Harmonic analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-63231-5
ISBN:	9783319632315$q(electronic bk.)

Harmonic and complex analysis in several variables
Krantz, Steven G.

Harmonic and complex analysis in several variables[electronic resource] /by Steven G. Krantz. - Cham :Springer International Publishing :2017. - xii, 424 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Preface -- 1. Introduction and Review -- 2. Boundary Behavior -- 3. The Heisenberg Group -- 4. Analysis on the Heisenberg Group -- 5. Reproducing Kernels -- 6. More on the Kernels -- 7. The Bergman Metric -- 8. Geometric and Analytic Ideas -- 9. Additional Analytic Topics -- 10. Cauchy-Riemann Equations Solution -- 11. A Few Miscellaneous Topics -- Bibliography -- Index.

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. Each chapter ends with an exercise set. Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment; preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful.

ISBN: 9783319632315$q(electronic bk.)

Standard No.: 10.1007/978-3-319-63231-5doiSubjects--Topical Terms:

189705
Harmonic analysis.

LC Class. No.: QA403 / .K73 2017

Dewey Class. No.: 515.2433

Harmonic and complex analysis in several variables
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245 1 0 $a Harmonic and complex analysis in several variables $h [electronic resource] / $c by Steven G. Krantz.
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300 $a xii, 424 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Preface -- 1. Introduction and Review -- 2. Boundary Behavior -- 3. The Heisenberg Group -- 4. Analysis on the Heisenberg Group -- 5. Reproducing Kernels -- 6. More on the Kernels -- 7. The Bergman Metric -- 8. Geometric and Analytic Ideas -- 9. Additional Analytic Topics -- 10. Cauchy-Riemann Equations Solution -- 11. A Few Miscellaneous Topics -- Bibliography -- Index.
520 $a Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. Each chapter ends with an exercise set. Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment; preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful.
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