Analogs of the spherical transform on the hyperbolic plane

  • V. S. Vasilyanskaya
  • V. V. Volchkov


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.
How to Cite
Vasilyanskaya, V. S., and V. V. Volchkov. “Analogs of the Spherical Transform on the Hyperbolic Plane”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 4, Apr. 2016, pp. 469-84,
Research articles