Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball

Document Type

Article

Publication Date

9-1-2025

Abstract

We study quantum harmonic analysis (QHA) on the Bergman space A2(Bn) over the unit ball in Cn. We formulate a Wiener’s Tauberian theorem, and characterizations of the radial Toeplitz algebra over A2(Bn). We discuss the α-Berezin transform and investigate the question of approximations by Toeplitz operators.

Publication Source (Journal or Book title)

Integral Equations and Operator Theory

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