Results 11 to 20 of about 193,905 (317)
Magnetic Fourier Integral Operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 2010 In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory
D. Robert +12 more
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Time-Frequency Analysis of Fourier Integral Operators [PDF]
Communications on Pure & Applied Analysis, 2007 We use time-frequency methods for the study of Fourier Integral operators (FIOs). In this paper we shall show that Gabor frames provide very efficient representations for a large class of FIOs.
Cordero, Elena +2 more
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A Class of Unbounded Fourier Integral Operators
Journal of Mathematical Analysis and Applications, 1998 The author constructs a class of Fourier integral operators defined by a phase function \[ \varphi(x,y,\theta):= S(x,\theta)- y\cdot \theta \] and an amplitude \(a\in S^0_{1,1}\), which cannot be extended to a bounded operator in \(L^2\).
Mahir Hasanov
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Fast Computation of Fourier Integral Operators [PDF]
SIAM Journal on Scientific Computing, 2006 We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations. The problem is to evaluate numerically a so-called Fourier integral operator (FIO) of the form $\int e^{2 i (x, )} a(x, ) \hat{f}( ) \mathrm{d ...
Emmanuel J. Candès +2 more
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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
Lars Hörmander
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On Traces of Fourier Integral Operators on Submanifolds [PDF]
Mathematical Notes, 2018 15 ...
П. А. Сипайло
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On Fourier integral operators with Hölder-continuous phase [PDF]
Analysis and Applications, 2018 We study continuity properties in Lebesgue spaces for a class of Fourier integral operators arising in the study of the Boltzmann equation. The phase has a Hölder-type singularity at the origin. We prove boundedness in [Formula: see text] with a precise loss of decay depending on the Hölder exponent, and we show by counterexamples that a loss occurs ...
Elena Cordero, Fabio Nicola, Eva Primo
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Curvelets and Fourier Integral Operators [PDF]
Comptes Rendus. Mathématique, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laurent Demanet, Emmanuel J. Candès
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AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS [PDF]
Radio Physics and Radio Astronomy, 2022 Subject and Purpose. Considered in the paper is diffraction of a plane wave by a structure involving a half-plane and two disks. The disks and the half-plane, lying within parallel planes, are assumed to be infinitely thin and perfectly conducting.
M. E. Kaliberda +2 more
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