Matthew Dawson

activity

20172020

collaborators

5 papers

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 ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols

Matthew Dawson, Gestur Olafsson, Raul Quiroga-Barranco

Let $D$ be the irreducible bounded symmetric domain of $2 \times 2$ complex matrices that satisfy $Z Z^{*} < I_{2}$ . The biholomorphism group of $D$ is realized by $U (2, 2)$ with…

math.FA2018

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…

math.FA2017

Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains

Matthew Dawson, Raul Quiroga-Barranco

Let $D$ be an irreducible bounded symmetric domain with biholomorphism group $G$ with maximal compact subgroup $K$ . For the Toeplitz operators with $K$ -invariant symbols we provide…

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

Toeplitz operators on the domain {Z∈M2×2​(C)∣ZZ∗<I} with U(2)×T2-invariant symbols

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

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

Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains

Toeplitz operators on the domain ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols