Abstract
In this paper, we prove an analog of Titchmarsh’s theorem for the q-Bessel Fourier transform using a generalized q-translation operator. Using the q-Bessel operator we define the Sobolev-type spaces, K-functionals and we give the proof of the equivalence theorem for a K-functional and a modulus of smoothness.
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The authors would like to thank the anonymous reviewers for their valuable comments.
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Achak, A., Daher, R., Dhaouadi, L. et al. An analog of Titchmarsh’s theorem for the q-Bessel transform. Ann Univ Ferrara 65, 1–13 (2019). https://doi.org/10.1007/s11565-018-0309-3
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DOI: https://doi.org/10.1007/s11565-018-0309-3