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arXiv · 1201.2143

Commutative algebras of Toeplitz operators and Lagrangian foliations

R. Quiroga-Barranco
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Abstract

Let $D$ be a homogeneous bounded domain of $\mathbb{C}^n$ and $\mathcal{A}$ a set of (anti--Wick) symbols that defines a commutative algebra of Toeplitz operators on every weighted Bergman space of $D$. We prove that if $\mathcal{A}$ is rich enough, then it has an underlying geometric structure given by a Lagrangian foliation.

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R. Quiroga-Barranco. 2012-01-10. Commutative algebras of Toeplitz operators and Lagrangian foliations. https://arxiv.org/abs/1201.2143

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