| Title:
|
Pointwise Fourier inversion of distributions on spheres (English) |
| Author:
|
González Vieli, Francisco Javier |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
1059-1070 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Given a distribution $T$ on the sphere we define, in analogy to the work of Łojasiewicz, the value of $T$ at a point $\xi $ of the sphere and we show that if $T$ has the value $\tau $ at $\xi $, then the Fourier-Laplace series of $T$ at $\xi $ is Abel-summable to $\tau $. (English) |
| Keyword:
|
distribution |
| Keyword:
|
sphere |
| Keyword:
|
Fourier-Laplace series |
| Keyword:
|
Abel summability |
| MSC:
|
42C10 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 06819573 |
| idMR:
|
MR3736019 |
| DOI:
|
10.21136/CMJ.2017.0403-16 |
| . |
| Date available:
|
2017-11-20T14:56:51Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146967 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
