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A note on the $L^{2}-$harmonic analysis of the Joint-Eigenspace Fourier transform by Oyadare, O. O. is a scholarly article available to read on EtoBox.

What is A note on the $L^{2}-$harmonic analysis of the Joint-Eigenspace Fourier transform about?

We consider the irreducibility of the regular representation of a noncompact semisimpe Lie group $G$ on the Hilbert space of the image of the Joint-Eigenspace Fourier transform on its corresponding symmetric space $G/K.$ The $L^{2}-$decomposition of the Joint-Eigenspace Fourier transform leads to the complete characterization of the said irreducibility in terms of the simplicity of a pair of members of $\mathfrak{a}^{*}_{\mathbb{C}}.$

Author

Oyadare, O. O.

Published

2024

Language

EN