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A series representation for the Titchmarsh-Weyl m-function

✍ Scribed by B.J. Harris


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
213 KB
Volume
171
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


Titchmarsh–Weyl m -functions for second-
✍ Charles Fulton 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 518 KB

## Abstract In this paper we consider some cases of Sturm–Liouville problems with two singular endpoints at __x__ = 0 and __x__ = __∞__ which have a simple spectrum, and show that the simplicity of the spectrum can be built into the definition of a Titchmarsh–Weyl __m__ ‐function from which the eig

On the Titchmarsh-Weyl Coefficients for
✍ D. B. Hinton; A. Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 653 KB

## Abstract In part I of this work we defined a Titchmarsh‐Weyl‐coefficient __M__(λ) for singular 8 hermitian systems of arbitrary deficiency index. This construction proceeded by the method of von Noumann for selfadjoint extensions of symmetric operators. In this part we show how a Titchmarsh‐Weyl

On the Titchmarsh-Weyl Coefficients for
✍ D. B. Hinton; A. Schneider 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 863 KB

## Abstract Singular __S__‐Hermitian systems are studied with the goal of defining a Titchmarsh‐Weyl __M__(λ)‐coefficient directly in terms of separated, selfadjoint boundary conditions. A general deficiency index is allowed. The resolvent operator is constructed and a self‐adjoint operator __A__ i