Spectral pairs and positive definite tempered distributions
Palle Jorgensen, Feng Tian
TL;DR
This paper introduces two innovative methods for Fourier series and spectral analysis specifically tailored for singular measures, advancing the mathematical tools available for such complex distributions.
Contribution
It proposes two novel approaches to analyze Fourier series and spectral properties of singular measures, enhancing existing mathematical frameworks.
Findings
New methods for spectral analysis of singular measures
Improved understanding of Fourier series in singular contexts
Potential applications in harmonic analysis
Abstract
The present paper presents two new approaches to Fourier series and spectral analysis of singular measures.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Mathematical functions and polynomials