Spectral theory and Wiener-Itô decomposition for the image of a Jacobi field

• Published in: Український математичний журнал
• Date: 2007
• ISSN: 1027-3190
• Main Authors: Berezansky, Yu.M., Pulemyotov, A.D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164192
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectral theory and Wiener-Itô decomposition for the image of a Jacobi field / Yu.M. Berezansky, A.D. Pulemyotov // Український математичний журнал. — 2007. — Т. 59, № 6. — С. 744–763. — Бібліогр.: 30 назв. — англ.

Assume that K⁺ : H_ → T_ is a bounded operator, where H_ and T_ are Hilbert spaces and ρ is a measure
 on the space H_. Denote by ρK the image of the measure ρ under K⁺. This paper aims to study the measure
 ρK assuming ρ to be the spectral measure of a Jacobi field. We obtain a fami...