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math.FA2026
A proof of conjectures of Esterle and Ransford on negative powers of contractions
William Verreault
Building on work of Ransford, we prove that whenever is a closed subset of the unit circle of Lebesgue measure zero, there exists a positive sequence such that i…
math.FA2024
The Cesàro operator on local Dirichlet spaces
Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1
The family of Cesàro operators , and , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this work, w…
math.FA2023★ 2 cited
Nonlinear expansions in reproducing kernel Hilbert spaces
Javad Mashreghi, William Verreault
We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The…