3 citations · 3 across the 5 of their papers we have counts for
8 papers
Functional analysis of canonical wave-packets on real reductive groups
Olufemi O. Oyadare
This paper revisits the study of canonical wave-packets on a real reductive groups, sequel to its construction in a recent manuscript of Oyadare. Among other results, we prove some…
The full Bochner theorem on real reductive groups
Olufemi O. Oyadare
The major results of Barker leading to the spherical Bochner theorem and its (spherical) extension, were made possible through the spherical transform theory of Trombi-Vara…
Abstract Peter-Weyl theory for semicomplete orthonormal sets
Olufemi O. Oyadare
The central concept in the harmonic analysis of a compact group is the completeness of Peter-Weyl orthonormal basis as constructed from the matrix coefficients of a maximal set of…
Non-gaussian congruences
Olufemi O. Oyadare
This paper is an invitation to the study and use of general theory of non-gaussian congruences in the theory of numbers. In this work we classify the two kinds of congruenc…
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…