Loewner’s theorem for kernels having a finite number of negative squares-Reference-Cited by-同舟云学术

Loewner’s theorem for kernels having a finite number of negative squares

Published:1999 Issue:4 Volume:127 Page:1109-1117
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Alpay D.,Rovnyak J.

Abstract

By a theorem of Loewner, a continuously differentiable real-valued function on a real interval whose difference quotient is a nonnegative kernel is the restriction of a holomorphic function which has nonnegative imaginary part in the upper half-plane and is holomorphic across the interval. An analogous result is obtained when the difference-quotient kernel has a finite number of negative squares.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-04/S0002-9939-99-04618-3/S0002-9939-99-04618-3.pdf

Reference15 articles.

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