Results 1 to 10 of about 651,796 (284)
Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and $L^p$-$L^q$-boundedness of Fourier integral operators on compact manifolds [PDF]
arXivWe link Sogge's type $L^p$-estimates for eigenfunctions of the Laplacian on compact manifolds with the problem of providing criteria for the $r$-nuclearity of Fourier integral operators. The classes of Fourier integral operators $I^\mu_{\rho,1-\rho}(X,Y;C)$ considered here are associated with complex canonical relations $C$, i.e.
Duván Cardona +2 more
arxiv +3 more sources
On the nuclear trace of Fourier integral operators
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
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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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AIMS Mathematics, 2023 In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition.
Yashar Mehraliyev +2 more
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OPERATOR METHOD IN THE PROBLEM OF THE H-POLARIZED WAVE DIFFRACTION BY TWO SEMI-INFINITE GRATINGS PLACED IN THE SAME PLANE [PDF]
Radio Physics and Radio Astronomy, 2021 Purpose: Problem of the H-polarized plane wave diffraction by the structure, which consists of two semi-infinite strip gratings, is considered. The gratings are placed in the same plane. The gap between the gratings is arbitrary. The purpose of the paper
M. E. Kaliberda +2 more
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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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An inverse problem for Hilfer type differential equation of higher order [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In three-dimensional domain, an identification problem of the source function for Hilfer type partial differential equation of the even order with a condition in an integral form and with a small positive parameter in the mixed derivative is considered.
T.K. Yuldashev +2 more
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On L 2 $L^{2}$ -boundedness of Fourier integral operators
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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New estimates for the Fourier transform in the space L2(Rn)
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we prove new estimates are presented for the integral \int_{|t|>N}|\widehat(f)(t)|^{2}dt , where \widehat(f) stands for the Fourier transform of f and N ≥ 1, in the space L2(Rn) characterized by the generalized modulus of continuity of ...
Mohamed El Hamma +3 more
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