Time-Frequency Analysis in the Unit Ball
arXiv:1905.03178
Abstract
As an appropriate analog of the Euclidean short-time Fourier transform, we study a windowed version of the Helgason-Fourier transform on the complex unit ball and translate the theory of modulation/coorbit spaces. As a result, atomic decompositions by means of Banach frames are obtained.
37 pages. Keywords: time-frequency analysis, Helgason transform, Banach frames, weighted coorbit spaces