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Extension of the Stieltjes moment sequence to the left and related problems of the spectral theory of inhomogeneous string

✍ Scribed by A. A. Nudel’man

Publisher
Springer
Year
2007
Tongue
English
Weight
119 KB
Volume
59
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES

Stieltjes Moment Problems and the Friedr
Stieltjes Moment Problems and the Friedrichs Extension of a Positive Definite Operator
✍ H.L. Pedersen 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 567 KB

For an indeterminate Stielijes moment sequence the multiplication operator \(M p(x)=x p(x)\) is positive definite and has self-adjoint extensions. Exactly one of these extensions has the same lower bound as \(M\). the so-called Friedrichs extension. The spectral measure of this extension gives a cer