کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778614 1633773 2017 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fourier quasicrystals and discreteness of the diffraction spectrum
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Fourier quasicrystals and discreteness of the diffraction spectrum
چکیده انگلیسی
We prove that a positive-definite measure in Rn with uniformly discrete support and discrete closed spectrum, is representable as a finite linear combination of Dirac combs, translated and modulated. This extends our recent results where we proved this under the assumption that also the spectrum is uniformly discrete. As an application we obtain that Hof's quasicrystals with uniformly discrete diffraction spectra must have a periodic diffraction structure.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 315, 31 July 2017, Pages 1-26
نویسندگان
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