Positive-definiteness and its applications to interpolation problems for holomorphic functions-Reference-Cited by-同舟云学术

Positive-definiteness and its applications to interpolation problems for holomorphic functions

Published:1984 Issue:1 Volume:284 Page:247-270
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Beatrous Frank,Burbea Jacob

Abstract

Holomorphic interpolation problems of the Pick-Nevanlinna and Loewner types as well as abstract interpolation theorems on functional Hilbert spaces are considered. Various characterizations are presented for restrictions of bounded holomorphic functions. In addition, certain norm estimates for restrictions and extensions of holomorphic functions are obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1984-284-01/S0002-9947-1984-0742424-4/S0002-9947-1984-0742424-4.pdf

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