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Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator
Journal article   Peer reviewed

Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator

Lakhdar T. Rachdi and Hajer Herch
Ricerche di matematica, Vol.66(2), pp.553-578
01/11/2017
DOI: https://doi.org/10.1007/s11587-017-0320-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we define and study the continuous wavelet transforms associated with the Riemann-Liouville operator, we give nice harmonic analysis results. Next we establish an analogue of Heisenberg's inequality related to the wavelet transform. Last, we study the wavelet transform on subset of finite measures which deals with time frequency theory.

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