The Hankel transform played an important role to solve many problems of physics, engineering, and mathematical sciences. Zemanian [1–4], Koh [5, 6], Pathak et al. [7–10], Lee [11], Dube and Pandey [12], Betancor [13–16] explored the theory of Hankel transform on various function spaces and characterized many results. Betancor and Marrero [17–21], Betancor and González [22], Betancor and Rodríguez–Mesa [23, 24] studied properties of functional spaces by taking the theory of Hankel transform and Hankel convolution. Aforesaid tools are also very effective in the problems of wavelet theory.

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The Continuous Bessel Wavelet Transform of Distributions

  • Santosh Kumar Upadhyay,
  • Jay Singh Maurya

摘要

The Hankel transform played an important role to solve many problems of physics, engineering, and mathematical sciences. Zemanian [1–4], Koh [5, 6], Pathak et al. [7–10], Lee [11], Dube and Pandey [12], Betancor [13–16] explored the theory of Hankel transform on various function spaces and characterized many results. Betancor and Marrero [17–21], Betancor and González [22], Betancor and Rodríguez–Mesa [23, 24] studied properties of functional spaces by taking the theory of Hankel transform and Hankel convolution. Aforesaid tools are also very effective in the problems of wavelet theory.