Analytic and group-theoretic aspects of the Cosine transform
| العنوان: | Analytic and group-theoretic aspects of the Cosine transform |
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| المؤلفون: | ��lafsson, G., Pasquale, A., Rubin, B. |
| المساهمون: | Louisiana State University (LSU), Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | Contemporary mathematics Contemporary mathematics, American Mathematical Society, 2013, Geometric Analysis and Integral Geometry, 584, pp.167-188. ⟨10.1090/conm/598/12009⟩ |
| بيانات النشر: | HAL CCSD, 2013. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 44A12, 22E45, 22E46, 43A80, 53C35, 010102 general mathematics, 0103 physical sciences, FOS: Mathematics, 010307 mathematical physics, 0101 mathematics, [MATH]Mathematics [math], 01 natural sciences, Functional Analysis (math.FA) |
| الوصف: | This is a brief survey of recent results by the authors devoted to one of the most important operators of integral geometry. Basic facts about the analytic family of cosine transforms on the unit sphere and the corresponding Funk transform are extended to the "higher-rank" case for functions on Stiefel and Grassmann manifolds. The main topics are the analytic continuation and the structure of polar sets, the connection with the Fourier transform on the space of rectangular matrices, inversion formulas and spectral analysis, and the group-theoretic realization as an intertwining operator between generalized principal series representations of SL(n, R). 21 pages |
| اللغة: | English |
| تدمد: | 0271-4132 1098-3627 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c18130e97a0ecd250dee41c4ab887da8Test https://hal.archives-ouvertes.fr/hal-01281896Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....c18130e97a0ecd250dee41c4ab887da8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02714132 10983627 |
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