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- Fourier_integral_operator abstract "In mathematical analysis, Fourier integral operators have become an important tool in the theory of partial differential equations. The class of Fourier integral operators contains differential operators as well as classical integral operators as special cases.A Fourier integral operator T is given by:where denotes the Fourier transform of f, a(x,ξ) is a standard symbol which is compactly supported in x and Φ is real valued and homogeneous of degree 1 in ξ. It is also necessary to require that on the support of a. Under these conditions, if a is of order zero, it is possible to show that T defines a bounded operator from L2 to L2.".
- Fourier_integral_operator wikiPageID "10138003".
- Fourier_integral_operator wikiPageRevisionID "549420676".
- Fourier_integral_operator hasPhotoCollection Fourier_integral_operator.
- Fourier_integral_operator subject Category:Fourier_analysis.
- Fourier_integral_operator subject Category:Harmonic_analysis.
- Fourier_integral_operator subject Category:Microlocal_analysis.
- Fourier_integral_operator subject Category:Partial_differential_equations.
- Fourier_integral_operator type Abstraction100002137.
- Fourier_integral_operator type Communication100033020.
- Fourier_integral_operator type DifferentialEquation106670521.
- Fourier_integral_operator type Equation106669864.
- Fourier_integral_operator type MathematicalStatement106732169.
- Fourier_integral_operator type Message106598915.
- Fourier_integral_operator type PartialDifferentialEquation106670866.
- Fourier_integral_operator type PartialDifferentialEquations.
- Fourier_integral_operator type Statement106722453.
- Fourier_integral_operator comment "In mathematical analysis, Fourier integral operators have become an important tool in the theory of partial differential equations. The class of Fourier integral operators contains differential operators as well as classical integral operators as special cases.A Fourier integral operator T is given by:where denotes the Fourier transform of f, a(x,ξ) is a standard symbol which is compactly supported in x and Φ is real valued and homogeneous of degree 1 in ξ.".
- Fourier_integral_operator label "Fourier integral operator".
- Fourier_integral_operator label "フーリエ積分作用素".
- Fourier_integral_operator sameAs フーリエ積分作用素.
- Fourier_integral_operator sameAs m.02q30cg.
- Fourier_integral_operator sameAs Q4262191.
- Fourier_integral_operator sameAs Q4262191.
- Fourier_integral_operator sameAs Fourier_integral_operator.
- Fourier_integral_operator wasDerivedFrom Fourier_integral_operator?oldid=549420676.
- Fourier_integral_operator isPrimaryTopicOf Fourier_integral_operator.