R. Bessonov

activity

20102023

most citedSymbols of truncated Toeplitz operators

57 citations · 166 across the 18 of their papers we have counts for

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5 papers · 1 filter

math.FA2016★ 1 cited

Schatten properties of Toeplitz operators on the Paley-Wiener space

R. V. Bessonov

We collect several old and new descriptions of Schatten class Toeplitz operators on the Paley-Wiener space and answer a question on discrete Hilbert transform commutators posed by…

math.FA2016★ 1 cited

Sampling measures, Muckenhoupt Hamiltonians, and triangular factorization

R. V. Bessonov

Let $μ$ be an even measure on the real line $R$ such that $c_{1} \int_{R} ∣ f ∣^{2} d x \leq \int_{R} ∣ f ∣^{2} d μ \leq c_{2} \int_{R} ∣ f ∣^{2} d x$ for all functi…

math.FA2015

Averaged wave operators and complex-symmetric operators

Roman Bessonov, Vladimir Kapustin

We study the behaviour of sequences $U_{2}^{n} X U_{1}^{- n}$ , where $U_{1}, U_{2}$ are unitary operators, whose spectral measures are singular with respect to the Lebesgue measure, and the c…

math.FA2011

The past and future wave operators on the singular spectrum

R. V. Bessonov

We consider averaged wave operators constructed for singular unitary operators $U_{1}$ , $U_{2}$ and a bounded identification operator $A$ . In the case of rank-two commutator $AU_1 - U_…

math.FA2010★ 57 cited

Symbols of truncated Toeplitz operators

Anton Baranov, Roman Bessonov, Vladimir Kapustin

We consider three problems connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^{p}$ : 1) properties of truncated Toeplitz operators; 2) Carleson-typ…