An application of calculus on measure chains to Fourier theory and Heisenberg's uncertainty principle

Journal of Difference Equations and Applications

Volumn 8, Issue 10, 2002, Pages 897-936

  Hilger, Stefan ^a  

^a CATHOLIC UNIVERSITY OF EICHSTÄTT INGOLSTADT   (Germany)

Author keywords

Fourier transform; Gauss function; Heisenberg's uncertainty principle; Measure chains; Time scales; Unification of differential and difference calculus

Indexed keywords

EID: 0036792593     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619021000000960     Document Type: Article

References (12)

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10. Stefan Hilger, Special Functions, Laplace and Fourier transform on measure chains, Dyn. Syst. Appl., 8(3-4) (1999), 471-488, Special Isue on "Discrete and Continuous Hamiltonian Systems", edited by R.P. Agarwal and M. Bohner.
11. Billûr Kaymakcalan, V. Lakshmikantham and S. Sivasundaram, Dynamic Systems on Measure Chains, volume 370 of Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht 1996.
12. Walter Rudin, Fourier Analysis on Groups, Interscience Publishers, New York 1962.