Fock Spaces Connected with Spherical Mean Operator and Associated Operators |
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| Authors: | Cyrine Baccar Slim Omri Lakhdar T Rachdi |
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| Institution: | (1) Département de Mathématiques Appliquées, Institut Supérieur d’Informatique d’El Manar, 2 Rue Abou Rahan El Bayrouni, 2080 Ariana, Tunisia;(2) Institut supérieur des systémes industriels de Gabés, Rue Slaheddine El Ayoubi, 6032 Gabés, Tunisia;(3) Département de Mathématiques, Faculté des Sciences de Tunis, 2092, El Manar II, Tunis, Tunisia |
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| Abstract: | We define and study the Fock space associated with the spherical mean operator. Next, we establish some results for the Segal-Bergmann
transform for this space. Lastly, we prove some properties concerning Toeplitz operators on this space.
Received: May 11, 2007. Revised: May 20, 2008. Accepted: May 23, 2008. |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 32A15 Secondary 47B35 |
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