Results 11 to 20 of about 144,037 (209)
On Fourier Integral Operators [PDF]
Proceedings of the American Mathematical Society, 1982 We consider operators of the form: ∫ − ∞ ∞ F t φ ( t ) d t \int _{ - \infty }^\infty {{F_t}\varphi (t)\;dt} , where
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Fourier Integral Operators. I [PDF]
Acta Mathematica, 1971 Pseudo-differential operators have been developed as a tool for the study of elliptic differential equations. Suitably extended versions are also applicable to hypoelliptic equations, but their value is rather limited in genuinely non-elliptic problems. In this paper we shall therefore discuss some more general classes of operators which are adapted to
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Bounds for singular fractional integrals and related Fourier integral operators [PDF]
, 2002 We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.Comment: 30 ...
Seeger, Andreas, Wainger, Stephen
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Quantization of pseudo-differential operators on the torus [PDF]
, 2008 Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts.
Ruzhansky, Michael, Turunen, Ville
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On the Measurability of Stochastic Fourier Integral Operators [PDF]
, 2020 This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously on their phase and amplitude functions, taken from suitable classes.
Martin Schwarz, Michael Oberguggenberger
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Curvelets and Fourier Integral Operators [PDF]
Comptes Rendus. Mathématique, 2003 Abstract A recent body of work introduced new tight-frames of curvelets E. Candes, D. Donoho, in: (i) Curvelets – a suprisingly effective nonadaptive representation for objects with edges (A. Cohen, C. Rabut, L. Schumaker (Eds.)), Vanderbilt University Press, Nashville, 2000, pp. 105–120; (ii) http://www.acm.caltech.edu/~emmanuel/publications.html
Laurent Demanet, Emmanuel J. Candès
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Integral Representations for the Class of Generalized Metaplectic Operators [PDF]
, 2015 This article gives explicit integral formulas for the so-called generalized metaplectic operators, i.e. Fourier integral operators (FIOs) of Schr\"odinger type, having a symplectic matrix as canonical transformation.
Cordero, E., Nicola, F., Rodino, L.
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The radiation field is a Fourier integral operator [PDF]
Annales de l’institut Fourier, 2005 We exhibit the form of the ``radiation field,'' describing the large-scale, long-time behavior of solutions to the wave equation on a manifold with no trapped rays, as a Fourier integral operator. We work in two different geometric settings: scattering manifolds (a class which includes asymptotically Euclidean spaces) and asymptotically hyperbolic ...
Antônio Sá Barreto, Jared Wunsch
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Wiener algebras of Fourier integral operators
Journal de Mathématiques Pures et Appliquées, 2013 AbstractWe construct a one-parameter family of algebras FIO(Ξ,s), 0⩽s⩽∞, consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of the operators in FIO(Ξ,s). The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical ...
CORDERO, Elena +3 more
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On the global boundedness of Fourier integral operators [PDF]
Annals of Global Analysis and Geometry, 2010 30 ...
CORDERO, Elena +2 more
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