Expressing Hilbert and Riesz transforms in terms of wavelet transforms
Shinya Moritoh, Nao Takemoto · Integral Transforms and Special Functions · 2022
An alternative wavelet inversion formula was considered by Lebedeva and Postnikov in 2014. The main aim of the paper is to give a multidimensional version of their formula; the Hilbert and Riesz transforms of functions are expressed in terms of the wavelet transforms.