S. Roch

activity

20062016

most citedThe essential spectrum of Schrödinger operators on lattices

63 citations · 138 across the 17 of their papers we have counts for

collaborators

Showing 2006 · math.FAShow all

2 papers · 2 filters

math.FA2006★ 2 cited

The Fredholm index of locally compact band-dominated operators on $L^{p} (R)$

Vladimir S. Rabinovich, Steffen Roch

We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator $A$ on $L^{p} (R)$ and solve the long-standing problem of c…

math.FA2006

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 $P_{n} T (a) P_{n}$ of Toeplitz operators, i.e., of operators which have constant…

The Fredholm index of locally compact band-dominated operators on Lp(R)

Szegö limit theorems for operators with almost periodic diagonals

The Fredholm index of locally compact band-dominated operators on $L^{p} (R)$