F. Gesztesy

activity

19972011

most citedLocal Spectral Properties of Reflectionless Jacobi, CMV, and Schrödinger Operators

8 citations · 46 across the 25 of their papers we have counts for

collaborators

Showing 2002 · math.SPShow all

3 papers · 2 filters

math.SP2002

$S L_{2} (R)$ , Exponential Herglotz Representations, and Spectral Averaging

Fritz Gesztesy, Konstantin A. Makarov

We revisit the concept of spectral averaging and point out its origin in connection with one-parameter subgroups of $S L_{2} (R)$ and the corresponding Möbius transformations. In pa…

math.SP2002

On Povzner--Wienholtz-type Self-Adjointness Results for Matrix-Valued Sturm--Liouville Operators

Steve Clark, Fritz Gesztesy

We derive Povzner--Wienholtz-type self-adjointness results for $m \times m$ matrix-valued Sturm--Liouville operators $T=R^{-1}\big[-\f{d}{dx}P\f{d}{dx}+Q\big]$ in $L^{2} ((a, b); R d x)^{m}$ …

math.SP2002

Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt

E. D. Belokolos, F. Gesztesy, K. A. Makarov +1

We prove a generalization of the well-known theorems by Borg and Hochstadt for periodic self-adjoint Schrödinger operators without a spectral gap, respectively, one gap in their sp…

SL2​(R), Exponential Herglotz Representations, and Spectral Averaging

On Povzner--Wienholtz-type Self-Adjointness Results for Matrix-Valued Sturm--Liouville Operators

Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt

$S L_{2} (R)$ , Exponential Herglotz Representations, and Spectral Averaging