Composition of Quadratic-Phase Fourier Wavelet Transform

被引:0
|
作者
Sharma P.B. [1 ]
Prasad A. [1 ]
机构
[1] Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad
关键词
Fourier transform; Quadratic-phase Fourier wavelet transform; Wavelet transform; Weighted Sobolev spaces;
D O I
10.1007/s40819-022-01297-2
中图分类号
学科分类号
摘要
In the present paper we defined the composition of quadratic-phase Fourier wavelet transform (QPFWT) and discussed its some properties. Parseval’s identity and inversion formula for the composition of QPFWT are obtained. The boundedness results of QPFWT on generalized weighted Sobolev space are also studied. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
引用
收藏
相关论文
共 50 条
  • [1] The quadratic-phase Fourier wavelet transform
    Prasad, Akhilesh
    Sharma, P. B.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1953 - 1969
  • [2] Abelian Theorems for Quadratic-Phase Fourier Wavelet Transform
    Sharma, P. B.
    Prasad, A.
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2023, 93 (01) : 75 - 83
  • [3] Abelian Theorems for Quadratic-Phase Fourier Wavelet Transform
    P. B. Sharma
    A. Prasad
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023, 93 : 75 - 83
  • [4] Wavelet Transform Associated with Quadratic-Phase Hankel Transform
    Roy, Chandra
    Kumar, Tanuj
    Prasad, Akhilesh
    Jha, Govind Kumar
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2025, 48 (01): : 65 - 71
  • [5] Towards quaternion quadratic-phase Fourier transform
    Younus Bhat, Mohammad
    Hamid Dar, Aamir
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,
  • [6] Convolution and product theorems for the quadratic-phase Fourier transform
    Sharma, Pratap Bhanu
    Prasad, Akhilesh
    GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (04) : 595 - 602
  • [7] A novel wavelet transform in the quaternion quadratic-phase domain
    Bhat, M. Younus
    Alamri, Osama Abdulaziz
    Dar, Aamir H.
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2024, 22 (04)
  • [8] Short-time quadratic-phase Fourier transform
    Shah, Firdous A.
    Lone, Waseem Z.
    Tantary, Azhar Y.
    OPTIK, 2021, 245
  • [9] Quadratic-phase wavelet transform with applications to generalized differential equations
    Shah, Firdous A.
    Lone, Waseem Z.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (03) : 1153 - 1175
  • [10] Multidimensional quadratic-phase Fourier transform and its uncertainty principles
    Castro, LUiS P. I. N. H. E. I. R. O.
    Guerra, Rita correia
    CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2025, 8 (01): : 15 - 34