Image of the spectral measure of a Jacobi field and the corresponding operators

Yurij M. Berezansky, Eugene W. Lytvynov, Artem D. Pulemyotov

By definition, a Jacobi field $J=(J(\varphi ){)}_{\varphi \in H_{+}}$ is a family of commuting selfadjoint three-diagonal operators in the Fock space $\mathcal{F}(H)$. The operators $J(\varphi )$ are indexe…