Non-separable Lattices, Gabor Orthonormal Bases and Tilings

Author:

Lai Chun-Kit,Mayeli Azita

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference30 articles.

1. Barbierie, D., Hernandez, E., Mayeli, A.: Tiling by lattices for locally compact abelian groups. Comptes rendus Mathematique 355(2), 193–199 (2017)

2. Christensen, O.: An Introduction to Frames and Riesz Bases. Birkhaüser, Boston (2002)

3. Chung, R., Lai, C.K.: Non-symmetric convex polytope and Gabor orthnonormal bases, To appear in Proc. Am. Math. Soc

4. De Carli, L., Mizrahi, A., Tepper, A.: Three problems on exponential bases. https://arxiv.org/pdf/1710.05342.pdf (2017)

5. de Gosson, M.: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Birkhuser, Boston (2011)

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1. Maximally localized Gabor orthonormal bases on locally compact Abelian groups;Advances in Mathematics;2024-08

2. A Fuglede type conjecture for discrete Gabor bases;Banach Journal of Mathematical Analysis;2024-06-08

3. Gabor orthonormal bases, tiling and periodicity;Mathematische Annalen;2022-01-21

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