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Asymptotic invertibility of Bergman and Bargmann space Toeplitz operators

Article type: Research Article

Authors: Böttcher, Albrecht | Wolf, Hartmut

Affiliations: Department of Mathematics, University of Advanced Technlogy, PSF 964, D-09009 Chemnitz, Germany

Note: [] Correspondence to: A. Böttcher, Department of Mathematics, University of Advanced Technlogy, PSF 964, D-09009 Chemnitz, Germany.

Abstract: We establish a criterion for the asymptotic invertibility of Toeplitz operators with continuous symbols on weighted Bergman spaces of the polydisk and their formal limit, the multi-dimensional Bargmann space.

DOI: 10.3233/ASY-1994-8102

Journal: Asymptotic Analysis, vol. 8, no. 1, pp. 15-33, 1994

Received 6 September 1990
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Revision received 5 March 1992
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Published: 1994
Price: EUR 27.50
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