Stable polynomials and crystalline measures
P. Kurasov, P. Sarnak
Abstract
Explicit examples of positive crystalline measures and Fourier quasicrystals are constructed using pairs of stable polynomials, answering several open questions in the area.
Topics & Concepts
QuasicrystalMathematicsPure mathematicsFourier transformStability (learning theory)Measure (data warehouse)Algebra over a fieldFourier analysisCharacterization (materials science)PhysicsMathematical analysisCombinatoricsField (mathematics)Class (philosophy)Quasicrystal Structures and PropertiesAnalytic and geometric function theoryAdvanced Mathematical Identities