Number theory problems from the harmonic analysis of a fractal

By Dorin Ervin Dutkay, John Haussermann. 2014

69 citations recorded by the source corpus.

We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor set introduced by Jorgensen and Pedersen in \cite{JP98}.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3de8aa0ac04878253337df237d478cc64f6d631a

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In Applied Mathematics

1. Li-Xiang An
2. Xiaoye Fu
3. Chun-Kit Lai
4. Xinggang He
5. Xin-Rong Dai
6. J. Miao
7. Wenxia Li
8. Zhiqiang Wang

In Mathematical Physics

1. Li-Xiang An
2. Xiaoye Fu
3. Chun-Kit Lai
4. Xinggang He
5. Xin-Rong Dai
6. Dorin Ervin Dutkay
7. J. Miao
8. Wenxia Li

Citations in the corpus

• On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem (2019, background): “measures [9, 10, 11], as well as the convergence properties of the associated Fourier series [38, 39, 13] and the rescaling properties of a given spectrum [19, 16, 21].”