Time-Frequency Analysis in the Unit Ball

Published 8 May 2019 in math.FA | (1905.03178v1)

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.

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Authors (1)

Mathias Ionescu-Tira

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