Matthew Dawson

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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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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 $A^{2} (B^{n})$ over the unit ball in $C^{n}$ . We formulate a Wiener's Tauberian theorem, and cha…

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★ 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.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…

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

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

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