3 citations · 4 across the 16 of their papers we have counts for
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Fourier and Helgason Fourier transforms for Vector Bundle-valued Differential Forms on Homogeneous Spaces
Olufemi O. Oyadare
The major aim of studying harmonic analysis on any group or symmetric space is to understand enough of its structure to be able to prove the fundamental theorem on it via the Fouri…
What is the JEFT?
O. O. Oyadare
The JEFT is the acronym for the Joint-Eigenspace Fourier Transform defined on a noncompact symmetric space. It is a consequence of a general construction of a Fourier transform mod…
A note on the harmonic analysis of the Joint-Eigenspace Fourier transform
O. O. Oyadare
We consider the irreducibility of the regular representation of a noncompact semisimpe Lie group on the Hilbert space of the image of the Joint-Eigenspace Fourier transform on…
Paley-Wiener theorem for the Joint-Eigenspace Fourier transform on noncompact symmetric spaces
Olufemi O. Oyadare
This paper conducts a geometric analysis of the Joint-Eigenspace Fourier transform of the symmetric space of the non-compact type. Our study shows how the Poisson transform builds…
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…
Non-spherical Harish-Chandra Fourier transforms on real reductive groups
Olufemi O. Oyadare
The Harish-Chandra Fourier transform, is a linear topological algebra isomorphism of the spherical (Schwartz) convolution algebra (w…
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…
On Quasi-Symmetric Polynomially Bounded Fréchet Algebras
Olufemi O. Oyadare
This paper concerns the notion of a symmetric algebra and its generalization to a quasi-symmetric algebra. We study the structure of these algebras in respect to their hull-kernel…