3 citations · 4 across the 16 of their papers we have counts for
4 papers · 2 filters
On harmonic analysis of spherical convolutions on semisimple Lie groups
Olufemi O. Oyadare
This paper contains a non-trivial generalization of the Harish-Chandra transforms on a connected semisimple Lie group with finite center, into what we term spherical convoluti…
Differential equations and the algebra of confluent spherical functions on semisimple Lie groups
Olufemi O. Oyadare
We consider the notion of a confluent spherical function on a connected semisimple Lie group, with finite center and of real rank and discuss the properties and relations…
Series Analysis and Schwartz Algebras of Spherical Convolutions on Semisimple Lie Groups
Olufemi O. Oyadare
We give the exact contributions of Harish-Chandra transform, of Schwartz functions to the harmonic analysis of spherical convolutions and the corresponding…
Fourier Transform of Schwartz Algebras on Groups in the Harish-Chandra class
Olufemi O. Oyadare
It is well-known that the Harish-Chandra transform, is a topological isomorphism of the spherical (Schwartz) convolution algebra (wh…