One-radius theorem for harmonic tempered distributions

We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace operator.

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Bibliographic Details
Published inGeorgian mathematical journal Vol. 30; no. 4; pp. 509 - 513
Main Authors Chrouda, Mohamed Ben, Hassine, Kods
Format Journal Article
LanguageEnglish
Published De Gruyter 01.08.2023
Subjects
31B05
35B05
35B53
Harmonic distributions
mean value property
Online AccessGet full text
ISSN1072-947X
1572-9176
DOI10.1515/gmj-2023-2028

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Summary:We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace operator.
ISSN:1072-947X
1572-9176
DOI:10.1515/gmj-2023-2028