| Autor: |
Jindal, Divya, Vashisht, Lalit Kumar |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Bulletin of the Malaysian Mathematical Sciences Society, 2022 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s40840-022-01337-6 |
| Popis: |
We study the construction of Gabor frames and wavelet frames for Weyl-Heisenberg group and extended affine group by using contraction between the affine group and the Weyl-Heisenberg group due to Subag, Baruch, Birman and Mann. Firstly, we give construction of Gabor frames with several generators from a unitary irreducible representation associated to the Weyl-Heisenberg group. Wavelet frames with several generators associated with an extended affine group have been obtained. A relation between frames for Weyl-Heisenberg group and extended affine group is also discussed. Finally, we show that frames of Gabor and wavelet structure are stable under small perturbations. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
