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math.FA2025
Restricted Liouville Operator for the study of Non-Analytic Dynamics within the Disk
Sushant Pokhriyal, Joel A Rosenfeld
The study of Koopman and Liouville operators over reproducing kernel Hilbert spaces (RKHSs) has been gaining considerable interest over the past decade. In particular, these operat…
math.FA2022
Invariant subspaces of powers of some unicellular operators
Sneh Lata, Sushant Pokhriyal, Dinesh Singh
In this paper we study subspaces which are invariant under squares and cubes (separately as well as jointly) of unicellular backward weighted shift operators on a separable Hilbert…
math.FA2021
Multivariable Sub-Hardy Hilbert Spaces Invariant under the action of -tuple of Finite Blaschke factors
Sneh Lata, Sushant Pokhriyal, Dinesh Singh
This paper deals with representing in concrete fashion those Hilbert spaces that are vector subspaces of the Hardy spaces $H^p(\bb D^n) \ (1\le p\le \infty)$ that remain invariant…