Harmonic And Complex Analysis In Several Variables


Harmonic And Complex Analysis In Several Variables
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Harmonic And Complex Analysis In Several Variables


Harmonic And Complex Analysis In Several Variables
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Author : Steven G. Krantz
language : en
Publisher: Springer
Release Date : 2017-09-20

Harmonic And Complex Analysis In Several Variables written by Steven G. Krantz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-20 with Mathematics categories.


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.



Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains


Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains
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Author : Luogeng Hua
language : en
Publisher: American Mathematical Soc.
Release Date : 1963-12-31

Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains written by Luogeng Hua and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963-12-31 with Mathematics categories.




Complex Variables


Complex Variables
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Author : Francis J. Flanigan
language : en
Publisher: Courier Corporation
Release Date : 1983-01-01

Complex Variables written by Francis J. Flanigan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.


Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.



Explorations In Harmonic Analysis


Explorations In Harmonic Analysis
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Author : Steven G. Krantz
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-24

Explorations In Harmonic Analysis written by Steven G. Krantz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-24 with Mathematics categories.


This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.



Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains


Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains
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Author : L. K. Hua
language : en
Publisher:
Release Date : 1963

Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains written by L. K. Hua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Functions of several complex variables categories.




Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains


Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains
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Author : L. K. Hua
language : en
Publisher:
Release Date : 1963

Harmonic Analysis Of Functions Of Several Complex Variables In The Classical Domains written by L. K. Hua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Harmonic analysis categories.




Complex Analysis Harmonic Analysis And Applications


Complex Analysis Harmonic Analysis And Applications
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Author : Robert Deville
language : en
Publisher: CRC Press
Release Date : 1996-04-30

Complex Analysis Harmonic Analysis And Applications written by Robert Deville and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-30 with Mathematics categories.


Multivariable complex analysis and harmonic analysis provide efficient techniques to study many applied mathematical problems. The main objective of a conference held in Bordeaux in June 1995, in honour of Professor Roger Gay, was to connect these mathematical fields with some of their applications. This was also the guideline for the fourteen contributions collected in this volume. Besides presenting new results, each speaker made a substantial effort in order to present an up to date survey of his field of research. All the subjects presented here are very active domains of research: integral geometry (with its relation to X-ray tomography), classical harmonic analysis and orthogonal polynomials, pluricomplex potential theory (with its deep connection with polynomial approximation), complex analytic methods in the theory of partial differentiable operators with constant coefficients (in the spirit of those initiated by Leon Ehrenpreis), Calderon-Zygmund operators and nonlinear operators, oscillatory integrals and resonance, and finally multivariable residue theory in its most recent developments. It is hoped that the reader will find enough insight in the different survey papers presented here to become involved with one of these subjects or to pursue further applications.



Geometric Aspects Of Harmonic Analysis


Geometric Aspects Of Harmonic Analysis
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Author : Paolo Ciatti
language : en
Publisher: Springer Nature
Release Date : 2021-09-27

Geometric Aspects Of Harmonic Analysis written by Paolo Ciatti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Mathematics categories.


This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.



Complex Variables


Complex Variables
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Author : Carlos A. Berenstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complex Variables written by Carlos A. Berenstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.



Geometric Harmonic Analysis Iv


Geometric Harmonic Analysis Iv
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Author : Dorina Mitrea
language : en
Publisher: Springer Nature
Release Date : 2023-07-09

Geometric Harmonic Analysis Iv written by Dorina Mitrea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-09 with Mathematics categories.


This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Traditionally, the label “Calderón-Zygmund theory” has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderón-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.