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In this paper, the boundedness and compactness of the Hankel wavelet multiplier associated with the unitary representation on Formula: see text space for Formula: see text, are obtained by using the Hankel transform technique. The application of Hankel wavelet multipliers in form of the Landau–Pollak–Slepian operator is given. With the help of the Hankel wavelet multiplier, the Sobolev space associated with the Hankel transform is constructed and its various properties are studied.
Shukla et al. (Sat,) studied this question.