Abstract
We introduce a continuous k-Hankel Gabor transform acting on a Hilbert space deforming L2(R). We prove a Plancherel formula and L2-inversion formulas for it. We also prove several uncertainty principles for this transform such as Heisenberg type inequalities and Faris–Price type uncertainty principle.
Original language | English |
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Pages (from-to) | 1549-1593 |
Number of pages | 45 |
Journal | Journal of Pseudo-Differential Operators and Applications |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - Dec 1 2020 |
Keywords
- Faris–Price’s uncertainty principle
- Heisenberg’s type inequality
- Inversion theorem
- Local Cowling–Price’s type inequalities
- Plancherel formula
- k-Hankel Gabor transform
- k-Hankel transform
ASJC Scopus subject areas
- Analysis
- Applied Mathematics