A local two-radii theorem for quasianalytic classes of functions (Q881131)
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scientific article; zbMATH DE number 5155551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A local two-radii theorem for quasianalytic classes of functions |
scientific article; zbMATH DE number 5155551 |
Statements
A local two-radii theorem for quasianalytic classes of functions (English)
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21 May 2007
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In some sense this is a continuation of a previous paper by the author [Mat. Sb. 186, No. 6, 15--34 (1995; Zbl 0860.43007)] where a complete form of the local two-radii theorem was obtained and, in particular, the existence of non-trivial functions with zero integrals over balls whose radii belong to a given two-element set was proved. In this paper an exact characteristic of the maximal smoothness of those non-trivial functions is obtained.
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spherical means
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two-radii theorem
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spherical harmonics
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Bessel function
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Lebesgue measure
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partial differential operator
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quasianalyticity
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Haar measure
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0.8479354977607727
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0.7838822603225708
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