@ARTICLE{10.21494/ISTE.OP.2022.0887, TITLE={Continuous Modulated Shearlet Transform}, AUTHOR={Piyush Bansal, Ajay Kumar, Ashish Bansal, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={13}, NUMBER={Issue 4 (September 2022)}, YEAR={2022}, URL={http://openscience.fr/Continuous-Modulated-Shearlet-Transform}, DOI={10.21494/ISTE.OP.2022.0887}, ISSN={1869-6090}, ABSTRACT={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.}}