Uncertainty principles and light cones

DOI10.1007/S00041-015-9401-6zbMath1337.46032OpenAlexW2007915412MaRDI QIDQ905613

Bruno Demange

Publication date: 27 January 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-015-9401-6

zbMATH Keywords

Fourier transformuncertainty principlewave operatordistribution spaceGaussian functionlight cone

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General integral transforms (44A05)

Cites Work

• A uniqueness theorem of Beurling for Fourier transform pairs
• Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Harmonic analysis on hyperboloids
• Uncertainty principles associated to non-degenerate quadratic forms
• On a Hilbert space of analytic functions and an associated integral transform part I
• Riesz distributions.
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
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