An Application of Calculus on Measure Chains to Fourier Theory and Heisenberg's Uncertainty Principle

DOI10.1080/1023619021000000960zbMath1006.43002OpenAlexW2006487301MaRDI QIDQ3147459

Stefan Hilger

Publication date: 17 March 2003

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619021000000960

zbMATH Keywords

Fourier transformtime scalesFourier seriesGauss functionHeisenberg uncertainty principleFourier integralmeasure chainsFourier theory on commutative groups

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (6)

The h-Fourier sine-Laplace discrete generalized convolution on time scale ⋮ The heat equation on time scales ⋮ Dynamic local and nonlocal initial value problems in Banach spaces ⋮ A generalized Fourier transform and convolution on time scales ⋮ A qualitative analysis on nonconstant graininess of the adaptive grids via time scales ⋮ The discrete and periodic heat and harmonic oscillator equation

Cites Work

• Differential and difference calculus — Unified!

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