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
## 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
## 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
## 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