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On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems II

✍ Scribed by D. B. Hinton; A. Schneider

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
653 KB
Volume
185
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 coefficient M(λ) defined by a limit of Titchmarsh‐Weyl coefficients on compact intervals is related to our M(λ). Examples are given in the intermediate deficiency index case which show that put all limits of Titchmarsh ‐ Weyl coefficients on compact intervals give rise to a singular selfadjoint problem.

📜 SIMILAR VOLUMES

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

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