9 citations · 22 across the 7 of their papers we have counts for
4 papers · 1 filter
Entire functions in weighted and zero modes of the Pauli operator with non-signdefinite magnetic field
G. Rozenblum, N. Shirokov
For a real non-signdefinite function , $z\in \C$, we investigate the dimension of the space of entire analytical functions square integrable with weight , where t…
Finite Rank Toeplitz Operators: Some Extensions of D.Luecking's Theorem
Alexey Alexandrov, Grigori Rozenblum
The recent theorem by D.Luecking about finite rank Bergman-Toeplitz operators is extended to weights being distributions with compact support and to the spaces of harmonic function…
Counting Schrödinger boundstates: semiclassics and beyond
G. Rozenblum, M. Solomyak
This is a survey of the basic results on the behavior of the number of the eigenvalues of a Schrödinger operator, lying below its essential spectrum. We discuss both fast decaying…
Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions
Grigori Rozenblum, Nikolay Shirokov
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-di…