CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(℠+)

Jay Singh Maurya () and Santosh Kumar Upadhyay
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Jay Singh Maurya: Department of Mathematical Sciences, Indian, Institute of Technology (BHU), Varanasi 221005, India
Santosh Kumar Upadhyay: Department of Mathematical Sciences, Indian, Institute of Technology (BHU), Varanasi 221005, India

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-19

Abstract: The inversion formula of the continuous Bessel wavelet transform of distributions is investigated by exploiting the theory of the Hankel transform. Some auxiliary results related to the inversion formula are also obtained in this paper. Using the theory of inversion formula of continuous Bessel wavelet transform of distributions, the Calderón reproducing formula is developed. The continuous Bessel wavelet transform of distributions through heat equation is discussed and its inversion formula is considered.

Keywords: Hankel Transform; Test Functions; Distribution; Bessel Wavelet Transform (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400303

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