2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the Cyclicity of Dilated Systems in Lattices: Multiplicative Sequences, Polynomials, Dirichlet-type Spaces and Algebras
Nikolai Nikolski
The aim of these notes is to discuss the completeness of the dilated systems in a most general framework of an arbitrary sequence lattice , including weighted spaces. I…
Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm
Nikolai Nikolski, Alexander Volberg
We measure a sign interlacing phenomenon for Bessel sequences in spaces in terms of the Kantorovich--Rubinstein mass moving norm . Our m…
Szegő-type limit theorems for "multiplicative Toeplitz" operators and non-Følner approximations
Nikolai Nikolski, Alexander Pushnitski
We discuss an analogue of the First Szegő Limit Theorem for multiplicative Toeplitz operators and highlight the role of the multliplicative Følner condition in this topic.
On the Sign Distributions of Hilbert Space Frames
Nikolai Nikolski, Alexander Volberg
We show that the positive and negative parts of any frame in a real space with respect to a continuous measure have both "infinite masses": 1) alw…
Fourier multipliers for weighted spaces with Lévy-Khinchin-Schoenberg weights
Nikolai K. Nikolski, Igor E. Verbitsky
We present a class of weight functions on the circle , called Lévy-Khinchin-Schoenberg (LKS) weights, for which we are able to completely characterize (in terms o…
Invertibility threshold for trace algebras, and effective matrix inversions
Nikolai Nikolski, Vasily Vasyunin
For a given , , a Blaschke sequence is constructed such that every function , , having is inve…