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20112024
most citedThe Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball

1 citations · 1 across the 8 of their papers we have counts for

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11 papers

math.FA2024

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.RT2024

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…

cs.LG2020

Algebraically-Informed Deep Networks (AIDN): A Deep Learning Approach to Represent Algebraic Structures

Mustafa Hajij, Ghada Zamzmi, Matthew Dawson +1

One of the central problems in the interface of deep learning and mathematics is that of building learning systems that can automatically uncover underlying mathematical laws from…

math.FA2019

Toeplitz operators on the domain with -invariant symbols

Matthew Dawson, Gestur Olafsson, Raul Quiroga-Barranco

Let be the irreducible bounded symmetric domain of complex matrices that satisfy . The biholomorphism group of is realized by with…

math.FA2018★ 1 cited

The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball

M. Dawson, G. Olafsson, R. Quiroga-Barranco

On the unit ball B^n we consider the weighted Bergman spaces H_λand their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of…

math.CA2018

Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral

C. Bryan Dawson, Matthew Dawson

When introduced in a 2018 article in the American Mathematical Monthly, the omega integral was shown to be an extension of the Riemann integral. Although results for continuous fun…