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

• Date: 2007
• Main Authors: Berezansky, Yu. M., Pulemyotov, A. D., Березанський, Ю. М., Пулемьотов, А. Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3342
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Assume that $K^+: H_- \rightarrow T_-$ is a bounded operator, where $H_—$ and $T_—$ are Hilbert spaces and $p$ is a measure on the space $H_—$. Denote by $\rho_K$ the image of the measure $\rho$ under $K^+$. This paper aims to study the measure $\rho_K$ assuming $\rho$ to be the spectral measure of...