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Complex Analysis, Harmonic Analysis and Applications : Chapman & Hall/CRC Research Notes in Mathematics Series - Robert Deville

Complex Analysis, Harmonic Analysis and Applications

Chapman & Hall/CRC Research Notes in Mathematics Series

Hardcover Published: 30th April 1996
ISBN: 9780582286986
Number Of Pages: 280

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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.

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

ISBN: 9780582286986
ISBN-10: 0582286980
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 280
Published: 30th April 1996
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Dimensions (cm): 27.9 x 21.6  x 1.75
Weight (kg): 0.49
Edition Number: 1

Earn 638 Qantas Points
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