Title: Asymptotic behavior of the Weyl m-function for one-dimensional Schrödinger operators with measure-valued potentials
Language: English
Authors: Wöhrer, Tobias 
Qualification level: Diploma
Advisor: Teschl, Gerald 
Assisting Advisor: Luger, Annemarie 
Issue Date: 2014
Number of Pages: 75
Qualification level: Diploma
Wir betrachten die Sturm-Liouville Differentialgleichung mit maßwertigen Koeffizienten und führen die Weyl m-Funktion für selbstadjungierte Realisierungen ein. Weiters betrachten wir den Spezialfall der eindimensionalen Schrödinger Operatoren mit maßwertigen Potentialen. Für diesen Fall entwickeln wir eine verbesserte Abschätzung der Hochenergieasymptotik für die Weyl m-Funktion.

We consider the Sturm-Liouville differential expression with measure-valued coefficients and introduce the Weyl m-function for self-adjoint realizations. We further look at the special case of one-dimensional Schrödinger operators with measure-valued potentials. For this case we develop an improved estimate for the high energy asymptotics of the Weyl m-function.
Keywords: Schrödinger operator; Weyl-Titchmarsh Theorie; Spektraltheorie
Schrödinger operator; Weyl-Titchmarsh theory; spectral theory
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-65158
Library ID: AC12072503
Organisation: E101 - Institut für Analysis und Scientific Computing 
Publication Type: Thesis
Appears in Collections:Thesis

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