3 papers
math.FA2005
Factorizations and invariant subspaces for weighted Schur classes
Alexey Tikhonov
We study factorizations of operator valued functions of weighted Schur classes over multiply-connected domains. There is a correspondence between functions from weighted Schur clas…
math.FA2005
Self-adjointness of Cauchy singular integral operator
Alexey Tikhonov
We extend Krupnik's criterion of self-adjointness of the Cauchy singular integral operator to the case of finitely connected domains. The main aim of the paper is to present a new…
math.FA2005
Conservative curved systems and free functional model
Alexey Tikhonov
We introduce conservative curved systems over multiply connected domains and study relationships of such systems with related notions of functional model, characteristic function,…