Harmonic and Complex Analysis in Several Variables
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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.
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.
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: sn.pub/extras
Autor*in
Steven G. Krantz
Themen in »Harmonic and Complex Analysis in Several Variables«
Finsler geometry Monge-Ampere equation d-bar Neumann problem harmonic analysis several complex variables holomorphic function Poisson kernel admissible convergence Heisenberg group prolegomena Folland-Stein theorem Calderon-Zygmund theory Szego integral Paley-Wiener theorem reproducing kernels
Stimmen zu »Harmonic and Complex Analysis in Several Variables«
“A number of key ideas in the subject are displayed in this text. Obviously, this is a nice book that will be valuable for researchers and students.” (Luping Chen, Mathematical Reviews, August, 2019)
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