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On Toeplitz operators with quasihomogeneous symbols

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Abstract.

In this paper, we give some basic results concerning Toeplitz operators whose symbol is of the form eip θϕ, where ϕ is a radial function, then use these results to characterize all Toeplitz operators which commute with them.

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Authors and Affiliations

  1. UFR de Mathématiques Informatiques, Université Bordeaux I, 351 cours de la libération, F-33405, Talence Cedex, France

    Issam Louhichi

  2. High Institute of Technology, 201 Diego-Suarez, Madagascar

    Lova Zakariasy

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  1. Issam Louhichi
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  2. Lova Zakariasy
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Correspondence to Issam Louhichi.

Additional information

Received: 12 June 2004; revised: 27 January 2005

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Louhichi, I., Zakariasy, L. On Toeplitz operators with quasihomogeneous symbols. Arch. Math. 85, 248–257 (2005). https://doi.org/10.1007/s00013-005-1198-0

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  • DOI: https://doi.org/10.1007/s00013-005-1198-0

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