Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 4 (September 2022) > Article
Piyush Bansal
University Enclave
India
Ajay Kumar
University of Delhi
India
Ashish Bansal
University of Delhi
India
Published on 21 October 2022 DOI : 10.21494/ISTE.OP.2022.0887
We generalize the well-known transforms such as short-time Fourier transform, wavelet transform and shearlet transform and refer it as Continuous Modulated Shearlet Transform. Important properties like Plancherel formula and inversion formula have been investigated. Uncertainty inequalities associated with this transform are presented.
We generalize the well-known transforms such as short-time Fourier transform, wavelet transform and shearlet transform and refer it as Continuous Modulated Shearlet Transform. Important properties like Plancherel formula and inversion formula have been investigated. Uncertainty inequalities associated with this transform are presented.
Continuous modulated shearlet transform Fourier transform Short-time Fourier transform Gabor transform Wavelet transform Shearlet transform Plancherel formula Inversion formula Heisenberg uncertainty inequality
Continuous modulated shearlet transform Fourier transform Short-time Fourier transform Gabor transform Wavelet transform Shearlet transform Plancherel formula Inversion formula Heisenberg uncertainty inequality