The continuous fractional wavelet transform on a generalized Sobolev space

被引：8

作者：

Prasad, Akhilesh ^{[1
]}

Kumar, Praveen ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2016年 / 14卷 / 06期

关键词：

Continuous wavelet transform; fractional Fourier transform; Sobolev spaces; Schwartz space; FOURIER-TRANSFORM;

D O I：

10.1142/S0219691316500466

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The main goal of this paper is to study continuous fractional wavelet transform (CFrWT) on generalized Sobolev space B-p,kappa(xi,theta)(R) and its approximation properties. Convergence of convolution for L-psi(theta) in B-p,kappa(xi,theta)(R) is also discussed.

引用

页数：10

共 50 条

[1] The continuous fractional wavelet transform on generalized weighted Sobolev spaces
Prasad, Akhilesh
Kumar, Praveen
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (03)
[2] Logarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized Sobolev space
Bahri, Mawardi
Ashino, Ryuichi
[J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2017, 15 (05)
[3] The generalized continuous wavelet transform associated with the fractional Fourier transform
Prasad, Akhilesh
Manna, Santanu
Mahato, Ashutosh
Singh, V. K.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 : 660 - 671
[4] CERTAIN PROPERTIES OF CONTINUOUS FRACTIONAL WAVELET TRANSFORM ON HARDY SPACE AND MORREY SPACE
Verma, Amit K.
Gupta, Bivek
[J]. OPUSCULA MATHEMATICA, 2021, 41 (05) : 701 - 723
[5] On Local Fractional Continuous Wavelet Transform
Yang, Xiao-Jun
Baleanu, Dumitru
Srivastava, H. M.
Tenreiro Machado, J. A.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[6] A note on continuous fractional wavelet transform in Rn
Verma, Amit K.
Gupta, Bivek
[J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2022, 20 (02)
[7] Approximation of linear canonical wavelet transform on the generalized Sobolev spaces
Akhilesh Prasad
Z. A. Ansari
[J]. Journal of Pseudo-Differential Operators and Applications, 2019, 10 : 855 - 881
[8] Approximation of linear canonical wavelet transform on the generalized Sobolev spaces
Prasad, Akhilesh
Ansari, Z. A.
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (04) : 855 - 881
[9] Continuous wavelet transform on a special homogeneous space
Fashandi, M
Gol, RAK
Niknam, A
Pourabdollah, MA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (09) : 4260 - 4266
[10] The continuous fractional Bessel wavelet transform and its applications
Upadhyay, S. K.
Mishra, Kush Kumar
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (7-8) : 403 - 420

← 1 2 3 4 5 →