Analogs of the Spherical Transform in the Hyperbolic Plane

Vasilyanskaya V S<sup>*</sup>; Volchkov Vit V

doi:10.1007/s11253-016-1239-9

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Analogs of the Spherical Transform in the Hyperbolic Plane

作者：Vasilyanskaya V S^*; Volchkov Vit V

来源：Ukrainian Mathematical Journal, 2016, 68(4): 526-544.

DOI：10.1007/s11253-016-1239-9

摘要

We introduce the notion of "s"-convolution in the hyperbolic plane and consider its properties. Analogs of the Helgason spherical transform in the spaces of compactly supported distributions in are investigated. We prove a Paley-Wiener-Schwartz-type theorem for the indicated transforms.