Articles liés à Reproducing Kernel Hilbert Spaces : The Basics, Bergman...

Reproducing Kernel Hilbert Spaces : The Basics, Bergman Spaces, and Interpolation Problems - Couverture souple

Baver Okutmustur; Aurelian Gheondea

 
9783838356310: Reproducing Kernel Hilbert Spaces : The Basics, Bergman Spaces, and Interpolation Problems
Couverture souple
ISBN 10 : 3838356314 ISBN 13 : 9783838356310
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

This is a series of lectures we have held during the academic year 2004-2005 at the Department of Mathematics of the Bilkent University in the seminar of operator theory. The theory of reproducing kernel Hilbert spaces has important applications to boundary value problems, integral operators, harmonic and analytic functions, in conformal mappings of simply- and multiply-connected domains, in pseudo-conformal mappings, in the study of invariant Riemann metrics, in probability theory, interpolation of functions, and in many other subjects. In this short presentation, we consider an introduction to this subject by emphasizing first the abstract theory, the Bergman kernels, and some of their applications to interpolation of functions in the unit disc. The book is aimed to a broader audience of graduate students, mathematicians, physicists, and engineers, and all those having an interest in getting a quick, but carefully presented, mathematically sound basic knowledge on this domain.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This is a series of lectures we have held during the academic year 2004-2005 at the Department of Mathematics of the Bilkent University in the seminar of operator theory. The theory of reproducing kernel Hilbert spaces has important applications to boundary value problems, integral operators, harmonic and analytic functions, in conformal mappings of simply- and multiply-connected domains, in pseudo-conformal mappings, in the study of invariant Riemann metrics, in probability theory, interpolation of functions, and in many other subjects. In this short presentation, we consider an introduction to this subject by emphasizing first the abstract theory, the Bergman kernels, and some of their applications to interpolation of functions in the unit disc. The book is aimed to a broader audience of graduate students, mathematicians, physicists, and engineers, and all those having an interest in getting a quick, but carefully presented, mathematically sound basic knowledge on this domain.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838356314
ISBN 13 
9783838356310
Reliure
Broché
Nombre de pages
116
Coordonnées du fabricant
non disponible
Personne responsable
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