Continuous spherical Gabor transform for Gelfand pair
A spherical Gabor transform is introduced which is based on the Gelfand pairs and their spherical Fourier transforms. Its fundamental properties, such as the Plancherel, Parseval and inversion formula, are established. A number of uncertainty principles (such as Donoho-Stark's uncertainty principle, Lieb's inequality and Beckner's uncertainty principle) associated with this transformation are proved.
scientific article; zbMATH DE number 7343505
scientific article