ID | 53925 |
フルテキストURL | |
著者 |
TRIMÈCHE, Khalifa
Department of Mathematics Faculty of Science of Tunis University Tunis El-Manar
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抄録 | We consider the transmutation operators Vk, tVk and V W k , tV W k associated respectively with the Cherednik operators and the Heckman-Opdam theory attached to the root system BC2, called also in [8, 9, 10] the trigonometric Dunkl intertwining operators, and their dual. In this paper we prove that the operators Vk, tVk and VWk , tVWk are positivity preserving and allows positive integral representations. In particular we deduce that the Opdam-Cherednik and the Heckman-Opdam kernels are positive definite.
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キーワード | Cherednik operators-Root system of type BC2
Transmutation operators
The trigonometric Dunkl intertwining operator and its dual
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発行日 | 2016-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 58巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 183
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終了ページ | 198
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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著作権者 | Copyright©2016 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol58/iss1/10
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JaLCDOI |