Complex Analysis, Harmonic Analysis and Applications

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

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Hardcover | 30 April 1996 | Edition Number 1

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Complex Analysis Functional Analysis & Transforms Science Science in General Algebra Differential Calculus & Equations Applied Mathematics

The Pompeiu problem, what's new?	p. 1
Injectivity of the spherical mean operator and related problems	p. 12
Applications de la transformation G a une interpolation de fonctions harmoniques de type exponentiel	p. 37
Operateurs differentiels d'Euler-Poisson Darboux generalises et fonctions hypergeometriques de plusieurs variables	p. 56
Analytic functionals and harmonic functionals	p. 74
Extremal plurisubharmonic functions for convex bodies in C[superscript n]	p. 87
Pluricomplex Green functions and approximation of holomorphic functions	p. 104
Bernstein regions for elliptic operators in two dimensions	p. 143
[Omega] hyperbolicity of linear partial differential operators with constant coefficients	p. 157
Quelques resultats recents en optique geometrique non lineaire	p. 183
Progres recents sur le probleme de la racine carree de Kato	p. 208
Boundary values of regular functions of quaternionic variables	p. 220
Interpretation of the composed residue homomorphisms by the residual currents	p. 233
Defining the residue of a complete intersection	p. 250
Table of Contents provided by Blackwell. All Rights Reserved.

Complex Analysis, Harmonic Analysis and Applications

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