Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Multiplier_(Fourier_analysis)> ?p ?o }
- Multiplier_(Fourier_analysis) abstract "In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a specified function known as the multiplier or symbol. Occasionally, the term "multiplier operator" itself is shortened simply to "multiplier". In simple terms, the multiplier reshapes the frequencies involved in any function. This class of operators turns out to be broad: general theory shows that a translation-invariant operator on a group which obeys some (very mild) regularity conditions can be expressed as a multiplier operator, and conversely. Many familiar operators, such as translations and differentiation, are multiplier operators, although there are many more complicated examples such as the Hilbert transform.In signal processing, a multiplier operator is called a "filter", and the multiplier is the filter's frequency response (or transfer function).In the wider context, multiplier operators are special cases of spectral multiplier operators, which arise from the functional calculus of an operator (or family of commuting operators). They are also special cases of pseudo-differential operators, and more generally Fourier integral operators. There are natural questions in this field that are still open, such as characterizing the Lp bounded multiplier operators (see below). In this context, multipliers are unrelated to Lagrange multipliers, except for the fact that they both involve the multiplication operation.For the necessary background on the Fourier transform, see that page. Additional important background may be found on the pages operator norm and Lp space.".
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- Multiplier_(Fourier_analysis) wikiPageRevisionID "647427648".
- Multiplier_(Fourier_analysis) wikiPageWikiLink Adjoint.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Bessel_potential.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Bochner–Riesz_conjecture.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Bochner–Riesz_mean.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Bochner–Riesz_operator.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Borel_measure.
- Multiplier_(Fourier_analysis) wikiPageWikiLink C*-algebra.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Calderón–Zygmund_lemma.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Category:Fourier_analysis.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Charles_Fefferman.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Commutative_operation.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Commutative_property.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Continuous_linear_operator.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Convergence_of_Fourier_series.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Convolution.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Convolution_kernel.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Convolution_operator.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Derivative.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Differentiable_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Differential_operator.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Differentiation_(mathematics).
- Multiplier_(Fourier_analysis) wikiPageWikiLink Dirac_delta_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Dirichlet_kernel.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Distribution_(mathematics).
- Multiplier_(Fourier_analysis) wikiPageWikiLink Doklady_Akademii_Nauk_SSSR.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Dual_space.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Fejér_kernel.
- Multiplier_(Fourier_analysis) wikiPageWikiLink File:Fourier_multiplier_diagram.png.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Filter_(signal_processing).
- Multiplier_(Fourier_analysis) wikiPageWikiLink Fourier_analysis.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Fourier_coefficient.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Fourier_integral_operator.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Fractional_calculus.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Function_(mathematics).
- Multiplier_(Fourier_analysis) wikiPageWikiLink Functional_calculus.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Group_(mathematics).
- Multiplier_(Fourier_analysis) wikiPageWikiLink Heat_kernel.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Hilbert_space.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Homomorphism.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Integration_by_parts.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Laplace_operator.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Linear_map.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Lp_space.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Marcinkiewicz_interpolation_theorem.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Mathematical_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Measurable.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Measure_(mathematics).
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Operator_norm.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Parsevals_theorem.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Pergamon_Press.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Periodic_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Pontryagin_dual.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Pontryagin_duality.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Proceedings_of_the_USSR_Academy_of_Sciences.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Pseudo-differential_operator.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Regular_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Riesz-Thorin_theorem.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Riesz_potential.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Riesz_transform.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Riesz–Thorin_theorem.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Russian_language.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Sawtooth_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Sawtooth_wave.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Schrödinger_equation.
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- Multiplier_(Fourier_analysis) wikiPageWikiLink Singular_integral_operators_of_convolution_type.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Singular_integrals.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Transfer_function.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Translation.
- Multiplier_(Fourier_analysis) wikiPageWikiLink Unit_circle.
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Fourier multiplier operator".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Fourier multiplier".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Fourier multipliers".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Mikhlin multiplier theorem".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Mikhlin's multiplier theorem".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Multiplier (Fourier analysis)".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "Multiplier (Fourier analysis)#Marcinkiewicz multiplier theorem".
- Multiplier_(Fourier_analysis) wikiPageWikiLinkText "multiplier operator".