On a theorem of John and its generalizations
The purpose of this paper is to consider some generalizations of the class of functions having zero integrals over balls of a fixed radius. We obtain an analog of John's uniqueness theorem for weighted spherical means on sphere.
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2013-10-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2013/40_1/16-22.pdf |
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| _version_ | 1849248874526408704 |
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| author | I. M. Savostyanova Vit. V. Volchkov |
| author_facet | I. M. Savostyanova Vit. V. Volchkov |
| author_sort | I. M. Savostyanova |
| collection | DOAJ |
| description | The purpose of this paper is to consider some generalizations of the class of functions having zero integrals over balls of a fixed radius. We obtain an analog of John's uniqueness theorem for weighted spherical means on sphere. |
| format | Article |
| id | doaj-art-cdb6d2ccffd343d59f37643dbe6c09b2 |
| institution | Kabale University |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2013-10-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-cdb6d2ccffd343d59f37643dbe6c09b22025-08-20T03:57:44ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342013-10-014011622On a theorem of John and its generalizationsI. M. SavostyanovaVit. V. VolchkovThe purpose of this paper is to consider some generalizations of the class of functions having zero integrals over balls of a fixed radius. We obtain an analog of John's uniqueness theorem for weighted spherical means on sphere.http://matstud.org.ua/texts/2013/40_1/16-22.pdfspherical meansspherical capLegendre functions |
| spellingShingle | I. M. Savostyanova Vit. V. Volchkov On a theorem of John and its generalizations Математичні Студії spherical means spherical cap Legendre functions |
| title | On a theorem of John and its generalizations |
| title_full | On a theorem of John and its generalizations |
| title_fullStr | On a theorem of John and its generalizations |
| title_full_unstemmed | On a theorem of John and its generalizations |
| title_short | On a theorem of John and its generalizations |
| title_sort | on a theorem of john and its generalizations |
| topic | spherical means spherical cap Legendre functions |
| url | http://matstud.org.ua/texts/2013/40_1/16-22.pdf |
| work_keys_str_mv | AT imsavostyanova onatheoremofjohnanditsgeneralizations AT vitvvolchkov onatheoremofjohnanditsgeneralizations |