THE INTEGRAL OPERATOR OF PROJECTION AND POINCARE SERIES FOR HOLOMORPHIC (Q; Ρ ) − FORMS
The paper addresses the spaces of multiplicate integrable automorphic forms on the plane domain D and on the compact Riemann surface D/G; where the group G is isomorphic to Fuchsian group of the first kind. The paper investi gates the operator of projection of measurable forms onto holomorphic ones...
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| Format: | Article |
| Language: | English |
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Kemerovo State University
2013-06-01
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| Series: | Вестник Кемеровского государственного университета |
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| Online Access: | https://vestnik.kemsu.ru/jour/article/view/76 |
| Summary: | The paper addresses the spaces of multiplicate integrable automorphic forms on the plane domain D and on the compact Riemann surface D/G; where the group G is isomorphic to Fuchsian group of the first kind. The paper investi gates the operator of projection of measurable forms onto holomorphic ones and the operator determining Poincare ρ series and translating forms for trivial group into forms for any group G. Universal estimates of norms of these opera tors; the reproduction formula; the self-conjugation and surjection properties were received. |
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| ISSN: | 2078-8975 2078-8983 |