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Two-dimensional fractional shearlet transforms in L 2 (R 2).
- Source :
-
Fractional Calculus & Applied Analysis . Dec2022, Vol. 25 Issue 6, p2554-2575. 22p. - Publication Year :
- 2022
-
Abstract
- The aim of this study is to introduce a convolution-based two-dimensional fractional shearlet transform in the context of fractional time-frequency analysis. The preliminary analysis encompasses the derivation of fundamental properties of the novel integral transform including the orthogonality relation, inversion formula, and the range theorem. To extend the scope of the study, the cone adapted variant of the two-dimensional fractional shearlet transform is also studied in detail. Nevertheless, several coherent examples are presented to facilitate a sound illustration of the concepts. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL transforms
*FOURIER transforms
*CONES
*TIME-frequency analysis
Subjects
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 25
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 160486354
- Full Text :
- https://doi.org/10.1007/s13540-022-00109-0