114 citations · 767 across the 136 of their papers we have counts for
9 papers · 1 filter
An inverse problem for point inhomogeneities
F. Gesztesy, A. G. Ramm
We study quantum scattering theory off point inhomogeneities () in three dimensions. The inhomogeneities (or generalized point interactions) positioned at $\{ξ_1,...,…
Monotonicity and Concavity Properties of The Spectral Shift Function
F. Gesztesy, K. A. Makarov, A. K. Motovilov
Let and be self-adjoint, continuously differentiable in trace norm with for , and denote by the fami…
Integrable Systems in the Infinite Genus Limit
Fritz Gesztesy
We provide an elementary approach to integrable systems associated with hyperelliptic curves of infinite genus. In particular, we explore the extent to which the classical Burchnal…
Borg-Type Theorems for Matrix-Valued Schrödinger Operators
Steve Clark, Fritz Gesztesy, Helge Holden +1
A Borg-type uniqueness theorem for matrix-valued Schrödinger operators is proved. More precisely, assuming a reflectionless potential matrix and spectrum a half-line ,…
Weyl-Titchmarsh M-Function Asymptotics for Matrix-Valued Schrödinger Operators
Steve Clark, Fritz Gesztesy
We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general matrix-valued Schrödinger operators on a half-line.
The Xi Operator and its Relation to Krein's Spectral Shift Function
Fritz Gesztesy, Konstantin A. Makarov
We explore connections between Krein's spectral shift function associated with the pair of self-adjoint operators , in a Hilbert space $\calH$ and t…