Results 1 to 10 of about 277,415 (327)
Fourier-Integral-Operator Approximation of Solutions to First-Order Hyperbolic Pseudodifferential Equations I: Convergence in Sobolev Spaces [PDF]
, 2006 An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic first-order pseudodifferential equation, $\d_z + a(z,x,D_x)$ with $\Re (a) \geq 0$, is constructed as the composition of global Fourier integral operators with complex phases ...
Jérôme Rousseau
core +8 more sources
On Traces of Fourier Integral Operators on Submanifolds [PDF]
Mathematical Notes, 2018 Given a smooth embedding of manifolds and a Fourier integral operator on the ambient manifold, the trace of this operator on the submanifold (i.e., its composition with the boundary and coboundary operators, which is an operator on the submanifold) is ...
П. А. Сипайло
semanticscholar +8 more sources
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, general hyperbolic equations, and curvilinear tomography.
Emmanuel J. Candès +2 more
semanticscholar +9 more sources
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
core +4 more sources
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
core +7 more sources
On the nuclear trace of Fourier integral operators [PDF]
Revista Integración, 2019 In this paper we characterise the r-nuclearity of Fourier integral operators on Lebesgue spaces. Fourier integral operators will be considered in Rn, the discrete group Zn, the n-dimensional torus and symmetric spaces (compact homogeneous manifolds).
Duván Cardona
doaj +6 more sources
A fractional Fourier integral operator and its extension to classes of function spaces
Advances in Difference Equations, 2018 In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
doaj +2 more sources
On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
doaj +2 more sources
Rough pseudodifferential operators on Hardy spaces for Fourier integral operators II [PDF]
Journal of Fourier Analysis and Applications, 2021 We obtain improved bounds for pseudodifferential operators with rough symbols on Hardy spaces for Fourier integral operators. The symbols a(x,η)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Jan Rozendaal
openalex +3 more sources
The radiation field is a fourier integral operator [PDF]
Annales de l’institut Fourier, 2003 On demontre que pour toute variete non-captive asymptotiquement hyperbolique ou asymptotiquement conique, le champs de radiation introduit par F.G. Friedlander qui est l'operateur envoyant la donnee de Cauchy pour l'equation des ondes sur l'asymptotique ...
Antonio S'a Barreto, J. Wunsch
semanticscholar +5 more sources