Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers
arXiv:2406.03613
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.
15 pages