[Turkmath:6723] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

 Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri
kapsamında, 15 Kasım Cuma günü saat 14:00'te Dr. Aleksey Kostenko
(Ljubljana Üniversitesi(Slovenya) ve Vienna Teknik
Üniversitesi(Avusturya))  bir seminer verecektir. Seminerin detayları
aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 15th of
November by Dr. Aleksey Kostenko  (University of Ljubljana (Slovenia) and
Vienna  University of  Technology (Austria) ).

Time and place: At 14:00 in Department of Mathematics, Lecture Amphi 2

Title:   Trace formulas and inverse spectral theory for strings

Abstract:  Generalized indefinite strings provide a canonical model for
self-adjoint operators with simple spectrum (other classical models are
Jacobi matrices, Krein strings and 2×2 canonical systems). We’ll present
several Szegő-type theorems for generalized indefinite strings and related
spectral problems (including Krein strings and Dirac operators). More
specifically, for several classes of coefficients (that can be regarded as
Hilbert–Schmidt perturbations of model problems), we provide a complete
characterization of the corresponding set of spectral measures. In
particular, our results also apply to the isospectral Lax operator for the
conservative Camassa–Holm flow and allow us to establish existence of
global weak solutions with various step-like initial conditions of low
regularity via the inverse spectral transform.
The talk is based on joint work with J.Eckhardt.
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