Abstract
It is known [6,14,19] that if Ω⊂Rd belongs to a class of k-tiling domains when translated by a lattice Λ, there exists a Riesz basis of exponentials for L2(Ω) constructed using k translates of the dual lattice Λ⁎. In this paper, we give an explicit construction of the corresponding biorthogonal dual Riesz basis. We also extend the iterative reconstruction algorithm introduced in [11] to this setting.
Original language | English (US) |
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Pages (from-to) | 104-117 |
Number of pages | 14 |
Journal | Applied and Computational Harmonic Analysis |
Volume | 51 |
DOIs | |
State | Published - Mar 2021 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Keywords
- Biorthogonal systems
- Frames of exponentials
- Multi-tiling
- Riesz bases of exponentials
- Vandermonde systems