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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] Continuous Modulated Shearlet Transform

[Forthcoming] Transformation de Shearlet modulée continue


Piyush Bansal
University Enclave
India

Ajay Kumar
University of Delhi
India

Ashish Bansal
University of Delhi
India



Published on 1 March 2022   DOI :

Abstract

Résumé

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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