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Analyse Harmonique Associée Aux Opérateurs de Dunkl by Maslouhi-M

Analyse Harmonique Associée Aux Opérateurs de Dunkl

by Maslouhi-M
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Book cover type: Paperback
  • ISBN13: 9786131507816
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 72
  • Original Price: GBP 24.0
  • Language: French
  • Edition: N/A
  • Item Weight: 118 grams
  • BISAC Subject(s): Functional Analysis

La théorie des opérateurs de Dunkl a commencé vers la fin des années 1980 quand Dunkl avait introduit ces opérateurs différentiels pour étudier les har- moniques sphériques associés à une famille de mesures invariantes sous l'action de quelques groupes de Weyl. Cette théorie a connu un grand progrès et s'est développée d'une manière concise et considérable. Ces opérateurs trouvent leurs applications en physique quantique, analyse harmonique, analyse fonctionnelle, probabilités... Cette thèse est une contribution à cette théorie notamment à 1. L'étude de l'opérateur d'entrelacement de Dunkl pour lequel on donne, entre autres, une nouvelle expression. 2. La résolution du problème de Dirichlet associé au laplacien de Dunkl en dimension quelconque et dans le cas d'un groupe de Weyl quelconque. En annexe, on présentera des procédures écrites en Maple(c) qui utilisent les résultats du chapitre 3 pour calculer l'expression explicite de l'opérateur d'entrelacement dans le cas du groupe symétrique et le groupe diédral.

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