Harmonic generalized functions in generalized function algebras
type: Item
instance of: scholarly article
title: Harmonic generalized functions in generalized function algebras
zbMATH Open document ID: 1221.46044
author: D. Scarpalezos
author: Stevan Pilipović
published in: Monatshefte für Mathematik
publication date: 2011-05-25T00:00:00Z
review text: The analysis of properties of harmonic generalized functions within the framework of Colombeau theory is carried out. The authors present generalizations of the maximum principle and Liouville's theorem for harmonic generalized functions. The Dirichlet problem is solved by an application of the Poisson formula in the framework of generalized functions.
Mathematics Subject Classification ID: 46F30
Mathematics Subject Classification ID: 46T30
zbMATH DE Number: 5899556
zbMATH Keywords: harmonic functions
zbMATH Keywords: generalized functions
zbMATH Keywords: differential algebras of generalized functions
reviewed by: Denis Sidorov
MaRDI profile type: Publication
full work available at URL: s00605-009-0180-5
OpenAlex ID: W2071321937
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DOI: 10.1007/S00605-009-0180-5
description: scientific article; zbMATH DE number 5899556