Abstract
In this paper, we begin with the study of the hyperbolic spaces H G where ???? = ????(????. ????; ????) and ???? = ????(????; ????) × ????(???? − ????, ????; ????), ???? = ℝ, ℂ or ℍ denotes the set of real numbers, complex numbers and quaternions respectively. In the articles of J. Faraut [2] and M.T. Kosters and G. van Dijk [4], spherical distributions were derived following two different methods. The first method is to describe the behavior of spherical distributions making use of the Fourier transform of finite and infinite functions. The second is to express them asM'S where ????′:????′ → ????′(????) is a transpose map and S is a solution to the differential equation LS a(t)S"b(t)S' and making use of the hypergeometric functions. Now we show that spherical distributions T can be obtained through a particular distribution S on ℝ by solving the equation . S LS The technique of Methe̒ e’s [6] is instrumental for the context.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Electronics,Computer Networking and Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.