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math.FA2025
The function-operator convolution algebra over the Bergman space of the ball and its Gelfand theory
Vishwa Dewage, Robert Fulsche, Gestur Ãlafsson
We investigate the structure of the commutative Banach algebra formed as the direct sum of integrable radial functions on the disc and the radial operators on the Bergman space, en…
math.FA2025
Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball
Matthew Dawson, Vishwa Dewage, Mishko Mitkovski +1
We study quantum harmonic analysis (QHA) on the Bergman space over the unit ball in . We formulate a Wiener's Tauberian theorem, and cha…