2019
Том 71
№ 10

# Analogs of the spherical transform on the hyperbolic plane

Abstract

We introduce the notion of “$s$”-convolution on the hyperbolic plane $H^2$ and consider its properties. Analogs of the Helgason spherical transform on the spaces of compactly supported distributions in $H^2$ are studied. We prove a Paley –Wiener – Schwartz-type theorem for these transforms.

Citation Example: Vasilyanskaya V. S., Volchkov V. V. Analogs of the spherical transform on the hyperbolic plane // Ukr. Mat. Zh. - 2016. - 68, № 4. - pp. 469-484.

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