Time-Frequency Analysis in the Unit Ball
Functional Analysis
2019-05-09 v1
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.
Keywords
Cite
@article{arxiv.1905.03178,
title = {Time-Frequency Analysis in the Unit Ball},
author = {Mathias Ionescu-Tira},
journal= {arXiv preprint arXiv:1905.03178},
year = {2019}
}
Comments
37 pages. Keywords: time-frequency analysis, Helgason transform, Banach frames, weighted coorbit spaces