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Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers (2406.03613v2)

Published 5 Jun 2024 in math.FA

Abstract: A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying algebra are characterized by this Fourier transformation.

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