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arxiv: 1611.07173 · v1 · pith:SSGNWTYRnew · submitted 2016-11-22 · 🧮 math.FA · math.OA

A Class of Toeplitz Operators in Several Complex Variables

classification 🧮 math.FA math.OA
keywords operatorstoeplitzalgebrasboundaryboundedcauchyclassclosed
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In order to study the Toeplitz algebras related to a Dirac operators in a neighborhood of a closed bounded domain D with smooth boundary in C^n we introduce a singular Cauchy type integral. We compute its principal symbol, thus initiating the index theory.

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