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.

引用

页数：1

共 50 条

[31] Generalized Tree-Based Wavelet Transform [J].

Ram, Idan ;

Elad, Michael ;

Cohen, Israel .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (09) :4199-4209

[32] Some uncertainty inequalities for the continuous wavelet transform [J].

Fatima Alhajji ;

Saifallah Ghobber .

Journal of Pseudo-Differential Operators and Applications, 2021, 12

[33] The continuous wavelet transform in n-dimensions [J].

Pandey, J. N. ;

Jha, N. K. ;

Singh, O. P. .

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2016, 14 (05)

[34] Reduction of Gibbs overshoot in continuous wavelet transform [J].

Chen, H ;

Kawai, Y ;

Maeda, H .

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1997, E80A (08) :1352-1361

[35] Some uncertainty inequalities for the continuous wavelet transform [J].

Alhajji, Fatima ;

Ghobber, Saifallah .

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (02)

[36] Flutter Prediction Using Continuous Wavelet Transform [J].

Ueda, Tetsuhiko ;

Iio, Masanobu ;

Ikeda, Tadashige .

TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, 2009, 51 (174) :275-281

[37] Wavelet transform associated with linear canonical Hankel transform [J].

Kumar, Tanuj ;

Mandal, Upain Kumar .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) :3167-3178

[38] IMAGE EDGE DETECTION BASED ON WAVELET TRANSFORM AND CANNY OPERATOR [J].

Deng, Cai-Xia ;

Bai, Ting-Ting ;

Geng, Ying .

PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, 2009, :355-359

[39] Toeplitz Operators for Wavelet Transform Related to the Spherical Mean Operator [J].

Amri, Besma .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2018, 49 (04) :849-872

[40] Toeplitz Operators for Wavelet Transform Related to the Spherical Mean Operator [J].

Besma Amri .

Bulletin of the Brazilian Mathematical Society, New Series, 2018, 49 :849-872

← 1 2 3 4 5 →