Results 1 to 10 of about 3,272 (305)
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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Characterizations of trace class semiclassical Fourier integral operators [PDF]
Miskolc Mathematical NotesIn this work we study a characterizations of trace class and nuclearity of semiclassical Fourier integral operators associated with a particular class of symbols S1,0m(ℝ2n)
Omar Farouk Aid +1 more
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Results in Applied MathematicsThis paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous ...
Tuan Anh Pham +2 more
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Periodic Fourier integral operators in $L^p$-spaces
Comptes Rendus. Mathématique, 2021 In this note we give sufficient conditions for the $L^p$ boundedness of periodic Fourier integral operators. We also refer to them as Fourier series operators (FSOs).
Cardona, Duván +2 more
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The boundedness of a class of semiclassical Fourier integral operators on Sobolev space $H^{s}$
Математичні Студії, 2021 We introduce the relevant background information that will be used throughout the paper. Following that, we will go over some fundamental concepts from the theory of a particular class of semiclassical Fourier integral operators (symbols and phase ...
O. F. Aid, A. Senoussaoui
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More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2022 The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira +1 more
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Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +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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On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order.
Jean-Pierre Magnot
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Surgery and the relative index in elliptic theory
Abstract and Applied Analysis, 2006 This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified ...
V. E. Nazaikinskii, B. Yu. Sternin
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