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Title
Asymptotic behavior of the Weyl m-function for one-dimensional Schrödinger operators with measure-valued potentials / Tobias Wöhrer
AuthorWöhrer, Tobias
CensorTeschl, Gerald ; Luger, Annemarie
Published2014
Description75 S.
Institutional NoteWien, Techn. Univ., Dipl.-Arb., 2014
LanguageEnglish
Document typeThesis (Diplom)
Keywords (DE)Schrödinger operator / Weyl-Titchmarsh Theorie / Spektraltheorie
Keywords (EN)Schrödinger operator / Weyl-Titchmarsh theory / spectral theory
URNurn:nbn:at:at-ubtuw:1-65158 Persistent Identifier (URN)
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 The work is publicly available
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Asymptotic behavior of the Weyl m-function for one-dimensional Schrödinger operators with measure-valued potentials [0.65 mb]
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Abstract (German)

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.

Abstract (English)

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.

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