Articles liés à Localization and Perturbation of Zeros of Entire Functions

Localization and Perturbation of Zeros of Entire Functions - Couverture rigide

Livre 41 sur 140: Lecture Notes in Pure and Applied Mathematics

Gil, Michael

 
9781439800324: Localization and Perturbation of Zeros of Entire Functions
Couverture rigide
ISBN 10 : 1439800324 ISBN 13 : 9781439800324
Editeur : Chapman & Hall/CRC, 2009

Synopsis

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new approach to the investigation of entire functions based on recent estimates for the resolvents of compact operators.

After presenting results about finite matrices and the spectral theory of compact operators in a Hilbert space, the book covers the basic concepts and classical theorems of the theory of entire functions. It discusses various inequalities for the zeros of polynomials, inequalities for the counting function of the zeros, and the variations of the zeros of finite-order entire functions under perturbations. The text then develops the perturbation results in the case of entire functions whose order is less than two, presents results on exponential-type entire functions, and obtains explicit bounds for the zeros of quasipolynomials. The author also offers additional results on the zeros of entire functions and explores polynomials with matrix coefficients, before concluding with entire matrix-valued functions.

This work is one of the first to systematically take the operator approach to the theory of analytic functions.

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

À propos de l'auteur

Michael Gil' is a professor in the Department of Mathematics at Ben Gurion University of the Negev in Israel.

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

Éditeur
Chapman & Hall/CRC
Date d'édition
2009
Langue
anglais
ISBN 10 
1439800324
ISBN 13 
9781439800324
Reliure
Relié
Numéro d'édition
1
Nombre de pages
300
Coordonnées du fabricant
non disponible
Personne responsable
GPSR Kontakt
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9781138116788: Localization and Perturbation of Zeros of Entire Functions

Edition présentée

ISBN 10 :  1138116785 ISBN 13 :  9781138116788
Editeur : Chapman and Hall/CRC, 2017
Couverture souple