81 citations · 202 across the 43 of their papers we have counts for
4 papers · 1 filter
Spectral synthesis in de Branges spaces
Anton Baranov, Yurii Belov, Alexander Borichev
We solve completely the spectral synthesis problem for reproducing kernels in the de Branges spaces . Namely, we describe the de Branges spaces suc…
Pseudo-holomorphic functions at the critical exponent
Laurent Baratchart, Alexander Borichev, Slah Chaabi
We study Hardy classes on the disk associated to the equation $\bar\d w=α\bar w$ for with . The paper seems to be the first to deal with the case .…
Cyclicity in weighted Bergman type spaces
Alexander Borichev, Omar El-Fallah, Abdelouahab Hanine
We use the so called resolvent transform method to study the cyclicity of the one point mass singular inner function in weighted Bergman type spaces.
The finite rank theorem for Toeplitz operators in the Fock space
Alexander Borichev, Grigori Rozenblum
We consider Toeplitz operators in the Fock space, under rather general conditions imposed on the symbols. It is proved that if the operator has finite rank and the symbol is a func…