Quasicrystals and Poisson's summation formula
arXiv:1312.6884 · doi:10.1007/s00222-014-0542-z
Abstract
We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in R^n for positive measures.
To appear in Inventiones mathematicae
References in corpus (1)
Cited by in corpus (13)
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- Higher Dimensional Fourier Quasicrystals from Lee-Yang Varieties
- Discrete nonlinear Fourier transforms and their inverses
- Stability of shifts, interpolation, and crystalline measures
- On eigenmeasures under Fourier transform
- Measures, modular forms, and summation formulas of Poisson type