A q-Analog of the Hua Equations
O. Bershtein, S. Sinel'shchikov
TL;DR
This paper introduces a quantum analogue of the Hua equations and establishes a necessary condition for functions to be in the image of a quantum Poisson integral operator related to the quantum matrix ball's Shilov boundary.
Contribution
It presents a novel quantum version of the Hua equations and characterizes the image of the quantum Poisson integral operator in this setting.
Findings
Established a necessary condition for functions in the quantum setting.
Introduced a quantum analogue of the Hua equations.
Linked the quantum Hua equations to the image of the quantum Poisson integral operator.
Abstract
A necessary condition is established for a function to be in the image of a quantum Poisson integral operator associated to the Shilov boundary of the quantum matrix ball. A quantum analogue of the Hua equations is introduced.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry