57 citations · 121 across the 35 of their papers we have counts for
4 papers · 1 filter
On hypercyclic rank one perturbations of unitary operators
Anton Baranov, Vladimir Kapustin, Andrei Lishanskii
Recently, S. Grivaux showed that there exists a rank one perturbation of a unitary operator in a Hilbert space which is hypercyclic. Another construction was suggested later by the…
Univalent functions in model spaces: revisited
Anton Baranov, Yurii Belov, Alexander Borichev +1
Motivated by a problem in approximation theory, we find a necessary and sufficient condition for a model (backward shift invariant) subspace $K_\varTheta = H^2\ominus \varTheta H^2…
Summability properties of Gabor expansions
Anton Baranov, Yurii Belov, Alexander Borichev
We show that there exist complete and minimal systems of time-frequency shifts of Gaussians in which are not strong Markushevich basis (do not admit the spectral…
The Young type theorem in weighted Fock spaces
Anton Baranov, Yurii Belov, Alexander Borichev
We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assu…