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- Q6553419 subject Q13296888.
- Q6553419 subject Q7013146.
- Q6553419 subject Q7464082.
- Q6553419 subject Q8470619.
- Q6553419 subject Q8549959.
- Q6553419 abstract "In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL2(R) on the time–frequency plane (domain).The LCT generalizes the Fourier, fractional Fourier, Laplace, Gauss–Weierstrass, Bargmann and the Fresnel transforms as particular cases. The name "linear canonical transformation" is from canonical transformation, a map that preserves the symplectic structure, as SL2(R) can also be interpreted as the symplectic group Sp2, and thus LCTs are the linear maps of the time–frequency domain which preserve the symplectic form.".
- Q6553419 wikiPageExternalLink ~bwolf.
- Q6553419 wikiPageWikiLink Q1071734.
- Q6553419 wikiPageWikiLink Q13296888.
- Q6553419 wikiPageWikiLink Q1366892.
- Q6553419 wikiPageWikiLink Q1454200.
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- Q6553419 wikiPageWikiLink Q4817582.
- Q6553419 wikiPageWikiLink Q5463950.
- Q6553419 wikiPageWikiLink Q6520159.
- Q6553419 wikiPageWikiLink Q7013146.
- Q6553419 wikiPageWikiLink Q7464082.
- Q6553419 wikiPageWikiLink Q766774.
- Q6553419 wikiPageWikiLink Q7806645.
- Q6553419 wikiPageWikiLink Q7979829.
- Q6553419 wikiPageWikiLink Q8470619.
- Q6553419 wikiPageWikiLink Q8549959.
- Q6553419 wikiPageWikiLink Q877802.
- Q6553419 wikiPageWikiLink Q891766.
- Q6553419 wikiPageWikiLink Q936434.
- Q6553419 comment "In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL2(R) on the time–frequency plane (domain).The LCT generalizes the Fourier, fractional Fourier, Laplace, Gauss–Weierstrass, Bargmann and the Fresnel transforms as particular cases.".
- Q6553419 label "Linear canonical transformation".