Jotsaroop, K. ; Thangavelu, S. (2011) Toeplitz operators with special symbols on Segal-Bargmann spaces Integral Equations and Operator Theory, 69 (3). pp. 317-346. ISSN 0378-620X
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Official URL: http://www.springerlink.com/content/ut88468239368r...
Related URL: http://dx.doi.org/10.1007/s00020-010-1846-z
Abstract
We study the boundedness of Toeplitz operators on Segal-Bargmann spaces in various contexts. Using Gutzmer's formula as the main tool we identify symbols for which the Toeplitz operators correspond to Fourier multipliers on the underlying groups. The spaces considered include Fock spaces, Hermite and twisted Bergman spaces and Segal-Bargmann spaces associated to Riemannian symmetric spaces of compact type.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Segal-Bargmann Transform; Weighted Bergman Spaces; Toeplitz Operators; Fourier Multipliers; Gutzmer's Formula ; Hermite and Laguerre Functions; Symmetric Spaces |
| ID Code: | 53588 |
| Deposited On: | 09 Aug 2011 11:42 |
| Last Modified: | 09 Aug 2011 11:42 |
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