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Статья

Finite rank Bergman - Toeplitz and Bargman - Toeplitz operators in many dimensions

Complex Analysis and Operator Theory. 2010. No. 4. P. 767-775.
Shirokov N. A., Rozenblum G.

The recent theorem by D. Luecking that finite rank Toeplitz-Bergman operators must be generated by a measure consisting of finitely many point masses is carried over to the many-dimensional case.