Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain $D_{2}$

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发表日期：

2025年4月26日

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Armando Sánchez-Nungaray,
Nikolai Vasilevski

摘要

In this paper, we consider two types of subgroups of the Nilpotent group of the Siegel domain of dimension two $D_2$ $D_{2}$ . For each of these two subgroups we construct a Bargmann-type transform adapted to the action of that subgroup over $D_2$ $D_{2}$ , moreover using these Bargmann-type transforms, we characterize the Toeplitz operators with invariant symbols under the action of these subgroups.

Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain \(D_{2}\)

摘要