The continuous generalized wavelet transform associated with q-Bessel operator

Author:

Dixit M. M.,Pandey C. P.,Das Deepanjan

Abstract

The continuous generalized wavelet transform associated with -Bessel operator is defined, which will invariably be called continuous -Bessel wavelet transform . Certain and boundedness results and inversion formula for continuous -Bessel wavelet transform are obtained.  Discrete -Bessel wavelet transform is defined and a reconstruction formula is derived for discrete- Bessel wavelet.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference12 articles.

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3. R. S. Pathak, Fourier - Jacobi wavelet transform. Vijnana Parishad Anushandhan Patrika, 47, 7-15, (2004).

4. M. M. Dixit, R. Kumar and C.P.Pandey, Generalized wavelet transform associated with Legendre polynomials. International Journal of Computer Applications,108(12),(2014). https://doi.org/10.5120/18966-0308

5. R. S. Pathak and C. P.Pandey, Wavelet transform in Generalized Sobolev space. Journal of Indian Mathematical Society,73,235-247,(2006).

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