The quadratic-phase Fourier wavelet transform |
| |
| Authors: | Akhilesh Prasad P. B. Sharma |
| |
| Affiliation: | Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India |
| |
| Abstract: | In this paper, we define the quadratic-phase Fourier wavelet transform (QPFWT) and discuss its basic properties including convolution for QPFWT. Further, inversion formula and the Parseval relation of QPFWT are also discussed. Continuity of QPFWT on some function spaces are studied. Moreover, some applications of quadratic-phase Fourier transform (QPFT) to solve the boundary value problems of generalized partial differential equations. |
| |
| Keywords: | convolution generalized Sobolev type space quadratic-phase Fourier transform quadratic-phase Fourier wavelet transform wavelet transform |
|
