Victor D. Didenko

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math.FA2015

Closed form solution of non-homogeneous equations with Toeplitz plus Hankel operators

Victor D. Didenko, Bernd Silbermann

Considered is the equation $(T (a) + H (b)) ϕ = f,$ where $T (a)$ and $H (b)$ , $a, b \in L^{\infty} (T)$ are, respectively, Toeplitz and Hankel operators acting on the classical Har…

math.FA2015

Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers

Victor D. Didenko, Bernd Silbermann

Generalized Toeplitz plus Hankel operators $T (a) + H_{α} (b)$ generated by functions $a, b$ and a linear fractional Carleman shift $α$ changing the orientation of the unit circle $\mathb…