Gabor orthonormal bases, tiling and periodicity

Author:

Debernardi Pinos AlbertoORCID,Lev NirORCID

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Fundação para a Ciência e a Tecnologia

European Research Council

Israel Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Agora, E., Antezana, J., Kolountzakis, M.N.: Tiling functions and Gabor orthonormal basis. Appl. Comput. Harmon. Anal. 48(1), 96–122 (2020)

2. Casazza, P.G.: An introduction to irregular Weyl–Heisenberg frames. Sampling, wavelets, and tomography. Appl. Numer. Harmon. Anal., pp. 61–81. Birkhäuser, Basel (2004)

3. Casazza, P.G., Christensen, O., Janssen, A.J.E.M.: Classifying tight Weyl–Heisenberg frames. The functional and harmonic analysis of wavelets and frames (San Antonio, TX, 1999), Contemp. Math., vol. 247, pp. 131–148. American Mathematical Society, Providence, RI (1999)

4. Christensen, O.: An introduction to frames and Riesz bases, 2nd edn. Birkhäuser, Basel (2016)

5. Chung, R., Lai, C.-K.: Non-symmetric convex polytopes and Gabor orthonormal bases. Proc. Am. Math. Soc. 146(12), 5147–5155 (2018)

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