A New Class of Linear Canonical Wavelet Transform

Document Type : Research Paper


1 Department of Mathematics, Indian Institute of Technology Patna, Patna, 801106, India

2 Engineering School (DEIM), University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy


We define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark’s uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give the Shapiro’s mean dispersion theorem for the proposed LCWT.


Main Subjects

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