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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Abstract We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace operator.
AbstractList We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace operator.
Author Hassine, Kods
Chrouda, Mohamed Ben
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Cites_doi 10.1007/978-1-4471-0233-5
10.1070/IM1995v044n01ABEH001588
10.1016/0022-0396(65)90006-9
10.1007/978-94-011-1138-6_29
10.1007/978-3-642-65183-0
10.1080/00029890.2008.11920570
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Snippet We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace...
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StartPage 509
SubjectTerms 31B05
35B05
35B53
Harmonic distributions
mean value property
Title One-radius theorem for harmonic tempered distributions
URI https://www.degruyter.com/doi/10.1515/gmj-2023-2028
Volume 30
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