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On the Poisson Representation of a Function Harmonic in the Upper Half-Plane

On the Poisson Representation of a Function Harmonic in the Upper Half-Plane New conditions for the validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior on the real axis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On the Poisson Representation of a Function Harmonic in the Upper Half-Plane

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321016
Publisher site
See Article on Publisher Site

Abstract

New conditions for the validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior on the real axis.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

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