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- Linear_canonical_transformation 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.".
- Linear_canonical_transformation wikiPageExternalLink ~bwolf.
- Linear_canonical_transformation wikiPageID "4415205".
- Linear_canonical_transformation wikiPageLength "11840".
- Linear_canonical_transformation wikiPageOutDegree "47".
- Linear_canonical_transformation wikiPageRevisionID "672831424".
- Linear_canonical_transformation wikiPageWikiLink Canonical_transformation.
- Linear_canonical_transformation wikiPageWikiLink Category:Fourier_analysis.
- Linear_canonical_transformation wikiPageWikiLink Category:Hamiltonian_mechanics.
- Linear_canonical_transformation wikiPageWikiLink Category:Integral_transforms.
- Linear_canonical_transformation wikiPageWikiLink Category:Signal_processing.
- Linear_canonical_transformation wikiPageWikiLink Category:Time–frequency_analysis.
- Linear_canonical_transformation wikiPageWikiLink Chirplet_transform.
- Linear_canonical_transformation wikiPageWikiLink Diffusion.
- Linear_canonical_transformation wikiPageWikiLink File:TFA_LCT_dish2.jpg.
- Linear_canonical_transformation wikiPageWikiLink File:TFA_LCT_disk.jpg.
- Linear_canonical_transformation wikiPageWikiLink File:TFA_LCT_fresnel.jpg.
- Linear_canonical_transformation wikiPageWikiLink File:TFA_LCT_lens.jpg.
- Linear_canonical_transformation wikiPageWikiLink Focus_recovery_based_on_the_linear_canonical_transform.
- Linear_canonical_transformation wikiPageWikiLink Fokker–Planck_equation.
- Linear_canonical_transformation wikiPageWikiLink Fourier_transform.
- Linear_canonical_transformation wikiPageWikiLink Fractional_Fourier_transform.
- Linear_canonical_transformation wikiPageWikiLink Fractional_Laplace_transform.
- Linear_canonical_transformation wikiPageWikiLink Free_particle.
- Linear_canonical_transformation wikiPageWikiLink Fresnel_diffraction.
- Linear_canonical_transformation wikiPageWikiLink Hamiltonian_mechanics.
- Linear_canonical_transformation wikiPageWikiLink Integral_transform.
- Linear_canonical_transformation wikiPageWikiLink Laplace_transform.
- Linear_canonical_transformation wikiPageWikiLink Paraxial_approximation.
- Linear_canonical_transformation wikiPageWikiLink Ray_transfer_matrix_analysis.
- Linear_canonical_transformation wikiPageWikiLink SL2(R).
- Linear_canonical_transformation wikiPageWikiLink Segal–Bargmann_space.
- Linear_canonical_transformation wikiPageWikiLink Segal–Shale–Weil_distribution.
- Linear_canonical_transformation wikiPageWikiLink Special_linear_group.
- Linear_canonical_transformation wikiPageWikiLink Symplectic_group.
- Linear_canonical_transformation wikiPageWikiLink Symplectic_vector_space.
- Linear_canonical_transformation wikiPageWikiLink Thin_lens.
- Linear_canonical_transformation wikiPageWikiLink Time–frequency_representation.
- Linear_canonical_transformation wikiPageWikiLink Wavelength.
- Linear_canonical_transformation wikiPageWikiLink Wavenumber.
- Linear_canonical_transformation wikiPageWikiLink Weierstrass_transform.
- Linear_canonical_transformation wikiPageWikiLink Wigner_distribution_function.
- Linear_canonical_transformation wikiPageWikiLinkText "LCT".
- Linear_canonical_transformation wikiPageWikiLinkText "Linear canonical transformation".
- Linear_canonical_transformation wikiPageWikiLinkText "linear canonical transformation".
- Linear_canonical_transformation wikiPageUsesTemplate Template:Pad.
- Linear_canonical_transformation subject Category:Fourier_analysis.
- Linear_canonical_transformation subject Category:Hamiltonian_mechanics.
- Linear_canonical_transformation subject Category:Integral_transforms.
- Linear_canonical_transformation subject Category:Signal_processing.
- Linear_canonical_transformation subject Category:Time–frequency_analysis.
- Linear_canonical_transformation hypernym Family.
- Linear_canonical_transformation type Field.
- Linear_canonical_transformation type Mechanic.
- Linear_canonical_transformation type Physic.
- Linear_canonical_transformation type Transform.
- Linear_canonical_transformation 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.".
- Linear_canonical_transformation label "Linear canonical transformation".
- Linear_canonical_transformation sameAs Q6553419.
- Linear_canonical_transformation sameAs m.0c11n7.
- Linear_canonical_transformation sameAs Lineer_kanonik_dönüşümler.
- Linear_canonical_transformation sameAs Q6553419.
- Linear_canonical_transformation sameAs 線性標準轉換.
- Linear_canonical_transformation wasDerivedFrom Linear_canonical_transformation?oldid=672831424.
- Linear_canonical_transformation isPrimaryTopicOf Linear_canonical_transformation.