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

Victor D. Didenko, Bernd Silbermann

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