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math.FA2019
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…
math.FA2019
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…
math.FA2019
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…