108 citations · 273 across the 29 of their papers we have counts for
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math.FA2015★ 1 cited
Continuous wavelet transform with the Shannon wavelet from the point of view of hyperbolic partial differential equations
Eugene B. Postnikov, Vineet K. Singh
We identify the result of the continuous wavelet transform with the difference of solutions of two hyperbolic partial differential equations, for which wavelet's shift and scale ar…
math.FA2015
Computational implementation of the inverse continuous wavelet transform without a requirement of the admissibility condition
Eugene B. Postnikov, Elena A. Lebedeva, Anastasia I. Lavrova
Recently, it has been proven [R. Soc. Open Sci. 1 (2014) 140124] that the continuous wavelet transform with non-admissible kernels (approximate wavelets) allows for an existence of…