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Matematicheskie Zametki, 2003, Volume 74, Issue 1, Pages 88–98
DOI: https://doi.org/10.4213/mzm248 (Mi mzm248) 		 
Two-Dimensional Töplitz Operators with Measurable Symbols

L. I. Sazonov

Rostov State University
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DOI: https://doi.org/10.4213/mzm248
Abstract: For the complete algebra of two-dimensional Töplitz operators with measurable bounded symbols, we establish conditions necessary for the Fredholm property of the operators and prove results on the separation of singularities of the symbols. As a corollary, conditions sufficient for the Fredholm property are established for operators with symbols satisfying local conditions of sectorial type.
Received: 20.12.2000
English version:
Mathematical Notes, 2003, Volume 74, Issue 1, Pages 81–90
DOI: https://doi.org/10.1023/A:1025071200778
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: L. I. Sazonov, “Two-Dimensional Töplitz Operators with Measurable Symbols”, Mat. Zametki, 74:1 (2003), 88–98; Math. Notes, 74:1 (2003), 81–90
Citation in format AMSBIB
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