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The crystalline measure that is not a Fourier Quasicrystal

Serhii Favorov

Abstract

We construct a crystalline measure on the real line, which is not a Fourier Quasicrystal.

The crystalline measure that is not a Fourier Quasicrystal

Abstract

We construct a crystalline measure on the real line, which is not a Fourier Quasicrystal.
Paper Structure (5 theorems, 40 equations)

This paper contains 5 theorems, 40 equations.

Key Result

Theorem 1

There is a crystalline measure on ${\mathbb R}$ that is not a Fourier Quasicrystal.

Theorems & Definitions (5)

  • Theorem
  • Lemma 1: cf.F
  • Lemma 2
  • Lemma 3: Y.Meyer M, Lemma 7, also M.N.Kolountzakis, K
  • Lemma 4