Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Singular_integral_operators_of_convolution_type> ?p ?o }
- Singular_integral_operators_of_convolution_type abstract "In mathematics, singular integral operators of convolution type are the singular integral operators that arise on Rn and Tn through convolution by distributions; equivalently they are the singular integral operators that commute with translations. The classical examples in harmonic analysis are the harmonic conjugation operator on the circle, the Hilbert transform on the circle and the real line, the Beurling transform in the complex plane and the Riesz transforms in Euclidean space. The continuity of these operators on L2 is evident because the Fourier transform converts them into multiplication operators. Continuity on Lp spaces was first established by Marcel Riesz. The classical techniques include the use of Poisson integrals, interpolation theory and the Hardy–Littlewood maximal function. For more general operators, fundamental new techniques, introduced by Alberto Calderón and Antoni Zygmund in 1952, were developed by a number of authors to give general criteria for continuity on Lp spaces. This article explains the theory for the classical operators and sketches the subsequent general theory.".
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- Singular_integral_operators_of_convolution_type wikiPageRevisionID "646881977".
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Alberto_Calderón.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Antoni_Zygmund.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Argument_principle.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Beurling_transform.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Carleson_measure.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Carlesons_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Category:Harmonic_analysis.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Category:Operator_theory.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Category:Singular_integrals.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Cauchy_principal_value.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Cauchys_integral_formula.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Characteristic_function.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Chebychevs_inequality.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Chebyshevs_inequality.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Distribution_(mathematics).
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Dominated_convergence_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Dual_space.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink F._Riesz.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Fourier_inversion_formula.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Fourier_inversion_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Fourier_multiplier.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Fourier_transform.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Frigyes_Riesz.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hardy-Littlewood_maximal_function.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hardy_space.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hardy–Littlewood_maximal_function.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Harmonic_analysis.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Harmonic_conjugate.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hilbert_transform.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hilbert–Schmidt_operator.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Hxc3xb6lders_inequality.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Indicator_function.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Interpolation_theory.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Lebesgue_differentiation_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Lebesgue_point.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Lennart_Carleson.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Lusins_conjecture.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Marcel_Riesz.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Marcinkiewicz_interpolation_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Mathematics.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Multiplier_(Fourier_analysis).
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Operator_norm.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Paley-Wiener_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Paley–Wiener_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Pergamon_Press.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Poisson_integral.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Poisson_kernel.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Principle_of_the_argument.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Riesz_transform.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Riesz–Thorin_interpolation_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Riesz–Thorin_theorem.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Rising_sun_lemma.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Schwartz_function.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Schwartz_space.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Singular_integral.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Singular_integral_operator.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Singular_integral_operators_of_convolution_type.
- Singular_integral_operators_of_convolution_type wikiPageWikiLink Unit_disk.
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "Calderón-Zygmund theory".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "Hilbert transform on the circle".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "Singular integral operators of convolution type".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "Singular integral operators of convolution type#Beurling transform in the complex plane".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "singular integral operator".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "singular integral operators of convolution type".
- Singular_integral_operators_of_convolution_type wikiPageWikiLinkText "singular integral operators".
- Singular_integral_operators_of_convolution_type hasPhotoCollection Singular_integral_operators_of_convolution_type.
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- Singular_integral_operators_of_convolution_type wikiPageUsesTemplate Template:Reflist.
- Singular_integral_operators_of_convolution_type wikiPageUsesTemplate Template:See_also.
- Singular_integral_operators_of_convolution_type subject Category:Harmonic_analysis.
- Singular_integral_operators_of_convolution_type subject Category:Operator_theory.
- Singular_integral_operators_of_convolution_type subject Category:Singular_integrals.
- Singular_integral_operators_of_convolution_type hypernym Operators.
- Singular_integral_operators_of_convolution_type type Company.
- Singular_integral_operators_of_convolution_type type Physic.
- Singular_integral_operators_of_convolution_type type Transform.
- Singular_integral_operators_of_convolution_type type Thing.
- Singular_integral_operators_of_convolution_type comment "In mathematics, singular integral operators of convolution type are the singular integral operators that arise on Rn and Tn through convolution by distributions; equivalently they are the singular integral operators that commute with translations. The classical examples in harmonic analysis are the harmonic conjugation operator on the circle, the Hilbert transform on the circle and the real line, the Beurling transform in the complex plane and the Riesz transforms in Euclidean space.".
- Singular_integral_operators_of_convolution_type label "Singular integral operators of convolution type".
- Singular_integral_operators_of_convolution_type seeAlso Beltrami_equation.
- Singular_integral_operators_of_convolution_type seeAlso Fatous_theorem.
- Singular_integral_operators_of_convolution_type seeAlso Hardy–Littlewood_maximal_function.
- Singular_integral_operators_of_convolution_type seeAlso Harmonic_conjugate.
- Singular_integral_operators_of_convolution_type seeAlso Hilbert_transform.
- Singular_integral_operators_of_convolution_type seeAlso Multiplier_(Fourier_analysis).
- Singular_integral_operators_of_convolution_type seeAlso Rising_sun_lemma.
- Singular_integral_operators_of_convolution_type sameAs m.0k2dn3k.
- Singular_integral_operators_of_convolution_type sameAs Q7524241.
- Singular_integral_operators_of_convolution_type sameAs Q7524241.
- Singular_integral_operators_of_convolution_type wasDerivedFrom Singular_integral_operators_of_convolution_type?oldid=646881977.