3 citations · 4 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
On the operator-valued Fourier transform of the Harish-Chandra Schwartz Algebra
Olufemi O. Oyadare
We establish a type decomposition of the Harish-Chandra Schwartz algebra for any real-rank reductive group with a maximal compact subgroup and…
On the Lie algebra of a Malcev algebra
Olufemi O. Oyadare
This paper develops the structure theory of a Malcev algebra via the consideration of its most important and largest Lie (sub-) algebra. We introduce the notion of a Lie algebra wh…