2 papers
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…
math.RT2025
A Representation Theoretic Approach to Toeplitz Quantization on Flag Manifolds
Matthew Dawson, Yessica Hernández-Eliseo
In this paper, we study Toeplitz operators on generalized flag manifolds of compact Lie groups using a representation-theoretic point of view. We prove several basic properties of…