Results 11 to 20 of about 282,183 (352)
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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Approximation of Fourier Integral Operators by Gabor Multipliers [PDF]
Journal of Fourier Analysis and Applications, 2011 A general principle says that the matrix of a Fourier integral operator with respect to wave packets is concentrated near the curve of propagation. We prove a precise version of this principle for Fourier integral operators with a smooth phase and a ...
E. Cordero, K. Gröchenig, F. Nicola
semanticscholar +7 more sources
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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Fourier integral operators. II [PDF]
Acta Mathematica, 1972 J. J. Duistermaat, Lars Hörmander
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L1-boundedness of rough Fourier integral operators. [PDF]
Journal of Pseudo-Differential Operators and Applications, 2022 Abstract In this paper, we study the L1-boundedness of Fourier integral operator T_{\phi,a} with rough symbol a\in L^{\infty}S^{m}_{\rho} and a new class of rough phase \phi. In this class, we extend the L^{\infty}\phi^{2} and non-degeneracy conditions to some generalized derivative estimation and some measure condition respectively.
Joachim Sindayigaya
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Schatten class Fourier integral operators [PDF]
Applied and Computational Harmonic Analysis, 2010 Fourier integral operators with sufficiently smooth phase act on the time-frequency content of functions. However time-frequency analysis has only recently been used to analyze these operators. In this paper, we show that if a Fourier integral operator has a smooth phase function and its symbol is well-localized in time and frequency, then the operator
Shannon Bishop
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Generalized oscillatory integrals and Fourier integral operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2009 AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential
Claudia Garetto +2 more
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OPERATOR METHOD IN THE PROBLEM OF A PLANE ELECTROMAGNETIC WAVE DIFFRACTION BY AN ANNULAR SLOT IN THE PLANE OR BY A RING [PDF]
Radio Physics and Radio Astronomy, 2021 Purpose: The problem of a plane electromagnetic wave diffraction by an annular slot in the perfectly conducting zero thickness plane is considered.
M. E. Kaliberda +2 more
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Fourier Integral Operator Model of Market Liquidity: The Chinese Experience 2009–2010
Mathematics, 2022 This paper proposes and motivates a dynamical model of the Chinese stock market based on linear regression in a dual state-space connected to the original state-space of correlations between the volume-at-price buckets by a Fourier transform.
Peter B. Lerner
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Analysis and Geometry in Metric Spaces, 2023 The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
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