Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line |
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| Authors: | M Sifi F Soltani |
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| Institution: | École Supérieure des Sciences et Techniques de Tunis, 1060 Tunis, Tunisia |
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| Abstract: | In this paper we study a class of generalized Fock spaces associated with the Dunkl operator. Next we introduce the commutator relations between the Dunkl operator and multiplication operator which leads to a generalized class of Weyl relations for the Dunkl kernel. |
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| Keywords: | Dunkl operator Dunkl kernel Generalized Fock space Generalized class of Weyl relations |
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