The continuous generalized wavelet transform associated with q-Bessel operator

Boletim da Sociedade Paranaense de Matemática(2022)

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摘要
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.
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关键词
continuous generalized wavelet transform,q-bessel
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