Results 1 to 10 of about 282,183 (352)
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 ...
J. Rozendaal
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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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Shape and parameter identification by the linear sampling method for a restricted Fourier integral operator [PDF]
Inverse Problems, 2023 In this paper we provide a new linear sampling method based on the same data but a different definition of the data operator for two inverse problems: the multi-frequency inverse source problem for a fixed observation direction and the Born inverse ...
Lorenzo Audibert, S. Meng
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On L 2 $L^{2}$ -boundedness of Fourier integral operators [PDF]
Journal of Inequalities and Applications, 2020 Let T a , φ $T_{a,\varphi }$ be a Fourier integral operator with symbol a and phase φ. In this paper, under the conditions a ( x , ξ ) ∈ L ∞ S ρ n ( ρ − 1 ) / 2 ( ω ) $a(x,\xi )\in L^{\infty }S^{n(\rho -1)/2}_{\rho }(\omega )$ and φ ∈ L ∞ Φ 2 $\varphi ...
Jie Yang, Wenyi Chen, Jiang Zhou
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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
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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
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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 ...
P. Sipailo
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The Wiener Property for a Class of Fourier Integral Operators [PDF]
, 2012 We construct a one-parameter family of algebras consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of this class of operators. The operator algebra is defined by the decay properties of
Cordero, Elena +3 more
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Rough pseudodifferential operators on Hardy spaces for Fourier integral operators [PDF]
Journal d'Analyse Mathematique, 2020 We prove mapping properties of pseudodifferential operators with rough symbols on Hardy spaces for Fourier integral operators. The symbols a ( x,η ) are elements of C _* ^ r S _1, δ ^ m classes that have limited regularity in the x variable. We show that
J. Rozendaal
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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, general hyperbolic equations, and curvilinear tomography.
E. Candès, L. Demanet, Lexing Ying
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