63 citations · 138 across the 17 of their papers we have counts for
4 papers · 1 filter
A handy formula for the Fredholm index of Toeplitz plus Hankel operators
Steffen Roch, Bernd Silbermann
We consider Toeplitz and Hankel operators with piecewise continuous generating functions on -spaces and the Banach algebra generated by them. The goal of this paper is to prov…
Pseudodifferential operators on periodic graphs
Vladimir S. Rabinovich, Steffen Roch
The main aim of the paper is Fredholm properties of a class of bounded linear operators acting on weighted Lebesgue spaces on an infinite metric graph which is periodic with re…
The Fredholm index of locally compact band-dominated operators on
Vladimir S. Rabinovich, Steffen Roch
We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator on and solve the long-standing problem of c…
Szegö limit theorems for operators with almost periodic diagonals
Steffen Roch, Bernd Silbermann
The classical Szegö theorems study the asymptotic behaviour of the determinants of the finite sections of Toeplitz operators, i.e., of operators which have constant…