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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 Ólafsson
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
Toeplitz algebra of bounded symmetric domains: A quantum harmonic analysis approach via localization
Vishwa Dewage
We prove that Toeplitz operators are norm dense in the Toeplitz algebra over the weighted Bergman space of a bounded symmetric domain…
math.FA2025
On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball
Vishwa Dewage, Mishko Mitkovski
We use quantum harmonic analysis and representation theory to provide a new proof of Xia's theorem: "Toeplitz operators are norm dense in the Toeplitz algebra over the Bergman spac…