N. Shravan Kumar

Feichtinger's Segal algebra on homogeneous spaces

Let K be a compact subgroup of a locally compact group G. We extend to the context of homogeneous spaces, G/K, the definition of Feichtingers Segal algebra. The functorial properties of the Segal algebra are proved.

Power boundedness in the Fourier and Fourier–Stieltjes algebras on homogeneous spaces

We study power boundedness in the Fourier and Fourier–Stieltjes algebras, and of a homogeneous space The main results characterizes when all elements with spectral radius at most one, in any of these algebras, are power bounded.We study power boundedness in the Fourier and Fourier–Stieltjes algebras, Open image in new window and Open image in new window of a homogeneous space Open image in new window The main results characterizes when all elements with spectral radius at most one, in any of these algebras, are power bounded.