A Simple Crystalline Measure
Alexander Olevskii, Alexander Ulanovskii
TL;DR
This paper proves that pairs of exponential polynomials with imaginary frequencies produce a Poisson-type formula, revealing a fundamental mathematical relationship.
Contribution
It introduces a new theoretical result linking exponential polynomials with Poisson-type formulas, expanding understanding in harmonic analysis.
Findings
Establishes a Poisson-type formula for exponential polynomial pairs
Provides a new theoretical framework for harmonic analysis
Enhances mathematical tools for analyzing exponential functions
Abstract
We prove that every pair of exponential polynomials with imaginary frequencies generates a Poisson-type formula.
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Taxonomy
TopicsCrystallization and Solubility Studies