Harmonic and Complex Analysis in Several V...

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Beschreibung

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée 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.

Zusammenfassung

Written by an established authority in harmonic analysis of several complex variables

Develops the harmonic analysis of several complex variables from the first principles

Includes copious examples, explanations, and an exhaustive bibliography

Contains several figures which illustrate the geometric nature of the subject

Exercise sets at the end of each chapter are especially useful for graduate level students

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2017
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	436
Reihe:	Springer Monographs in Mathematics
Inhalt:	xii 424 S. 17 s/w Illustr. 66 farbige Illustr. 424 p. 83 illus. 66 illus. in color.
ISBN-13:	9783319632292
ISBN-10:	3319632299
Sprache:	Englisch
Herstellernummer:	978-3-319-63229-2
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Krantz, Steven G.
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer Monographs in Mathematics
Maße:	241 x 160 x 29 mm
Von/Mit:	Steven G. Krantz
Erscheinungsdatum:	28.09.2017
Gewicht:	0,816 kg

preigu-id: 110008354