Buch, Englisch, 280 Seiten, Format (B × H): 170 mm x 243 mm, Gewicht: 454 g
Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series
Buch, Englisch, 280 Seiten, Format (B × H): 170 mm x 243 mm, Gewicht: 454 g
Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series
ISBN: 978-0-582-28698-6
Verlag: Chapman and Hall/CRC
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.
Zielgruppe
Professional
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
PrefaceThe Pompieu problem, what is new?Injectivity of the spherical mean operator and related problemsApplications de la transformation G a une interpolation de fonctions harmoniques de type exponentielOperateurs differentiels díEuler-Poisson Darboux generalises et fonctions hypergeometriques de plusieurs variablesAnalytic functionals and harmonic functionalsExtremal plurisubharmonic functions for conves bodies in nPluricomplex Green functions and approximation of holomorphic functionsBernstein regions for elliptic operators in two dimensions[Greek l.c. omega]-hyperbolicity of linear partial differential operators withconstant coefficientsQuelques resultats recents en optique geometrique non lineaireProgres recents sur le probleme de la racine carree de KatoBoundary values of regular functions of quaternionic variablesInterpretation of the composed residue homomorphisms by the residual currentsDefining the residue of a complete intersection
