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Spectrum is periodic for n-intervals |
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| Authors: | Debashish Bose Shobha Madan |
| Affiliation: | Department of Mathematics and Statistics, I.I.T. Kanpur, India |
| Abstract: | In this paper we study spectral sets which are unions of finitely many intervals in R. We show that any spectrum associated with such a spectral set Ω is periodic, with the period an integral multiple of the measure of Ω. As a consequence we get a structure theorem for such spectral sets and observe that the generic case is that of the equal interval case. |
| Keywords: | Spectral sets Spectrum Tiling Fuglede's conjecture Zeros of exponential polynomials Sets of sampling and interpolation Landau's density theorem |
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