Complex Analysis, Harmonic Analysis and Applications: 1st Edition (Hardback) book cover

Complex Analysis, Harmonic Analysis and Applications

1st Edition

By Robert Deville, J Esterle, V Petkov, A Sebbar, A Yger

Chapman and Hall/CRC

280 pages

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Hardback: 9780582286986
pub: 1996-04-30
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Description

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.

Table of Contents

Preface

The Pompieu problem, what is new?

Injectivity of the spherical mean operator and related problems

Applications de la transformation G a une interpolation de fonctions harmoniques de type exponentiel

Operateurs differentiels díEuler-Poisson Darboux generalises et fonctions hypergeometriques de plusieurs variables

Analytic functionals and harmonic functionals

Extremal plurisubharmonic functions for conves bodies in n

Pluricomplex Green functions and approximation of holomorphic functions

Bernstein regions for elliptic operators in two dimensions

[Greek l.c. omega]-hyperbolicity of linear partial differential operators with

constant coefficients

Quelques resultats recents en optique geometrique non lineaire

Progres recents sur le probleme de la racine carree de Kato

Boundary values of regular functions of quaternionic variables

Interpretation of the composed residue homomorphisms by the residual currents

Defining the residue of a complete intersection

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis