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Hankel transform had considerable effects on the problems of the theory of distributions. Exploiting the theory of distributions, Zemanian [1–4], Koh [5, 6], Lee [7], Dube et al. [8], and Arteaga and Marrero [9] gave significant contributions in this area. Using the Hankel transform approach, Betancor et al. [10–20] and Pathak et al. [21–26] discussed many properties of functional spaces and Hankel convolution. The Hankel convolution made an adequate foundation for the formation of the Bessel wavelet transform. Considering the Zemanian theory of the Hankel transform, Upadhyay et al. [27–32] discussed the continuous Bessel wavelet transform and studied its properties.

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Characterizations of the Inversion Formula of the Continuous Bessel Wavelet Transform of Distributions in \(H_\mu ^\prime (I)\)

  • 章节

  • 发表日期：

    2025年

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  • Santosh Kumar Upadhyay,
  • Jay Singh Maurya

摘要

Hankel transform had considerable effects on the problems of the theory of distributions. Exploiting the theory of distributions, Zemanian [1–4], Koh [5, 6], Lee [7], Dube et al. [8], and Arteaga and Marrero [9] gave significant contributions in this area. Using the Hankel transform approach, Betancor et al. [10–20] and Pathak et al. [21–26] discussed many properties of functional spaces and Hankel convolution. The Hankel convolution made an adequate foundation for the formation of the Bessel wavelet transform. Considering the Zemanian theory of the Hankel transform, Upadhyay et al. [27–32] discussed the continuous Bessel wavelet transform and studied its properties.