The Continuous Generalized Wavelet Transform Associated with q-Bessel Operator

被引：2
|
作者：
Dixit, M. M. [1 ]
Pandey, C. P. [1 ]
Das, D. [2 ]
机构：
[1] North Eastern Reg Inst Sci & Technol, Dept Math, Itanagar 791109, Arunachal Prade, India
[2] Ghani Khan Choudhury Inst Engn & Technol, Dept Math, Malda 732141, West Bengal, India
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
q -Bessel function; Bessel Fourier transform; wavelet transform;
D O I：
10.5269/bspm.52810
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The continuous generalized wavelet transform associated with q-Bessel operator is defined, which will invariably be called continuous q-Bessel wavelet transform . Certain and boundedness results and inversion formula for continuous q-Bessel wavelet transform are obtained. Discrete q-Bessel wavelet transform is defined and a reconstruction formula is derived for discrete q- Bessel wavelet.
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