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

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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… Click to show full abstract

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.

Keywords: continuous wavelet; liouville operator; wavelet transforms; wavelet; riemann liouville

Journal Title: Ricerche di Matematica
Year Published: 2017

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