OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Radio Physics and Radio Astronomy, 2018 Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
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Generalized Metaplectic Operators and the Schr\"odinger Equation with a Potential in the Sj\"ostrand Class [PDF]
, 2014 It is well known that the matrix of a metaplectic operator with respect to phase-space shifts is concentrated along the graph of a linear symplectic map.
Cordero, Elena +3 more
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Fourier-Like Multipliers and Applications for Integral Operators [PDF]
Complex Analysis and Operator Theory, 2017 Timelimited functions and bandlimited functions play a fundamental role in signal and image processing. But by the uncertainty principles, a signal cannot be simultaneously time and bandlimited.
Saifallah Ghobber
semanticscholar +1 more source
The equiconvergence theorem for an integral operator with piecewise constant kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 The paper is devoted to the equiconvergence of the trigonometric Fourier series and the expansions in the eigen and associated functions of the integral operator A, the kernel of which has jumps on the sides of the square inscribed in the unit square. An
Olga A Koroleva
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Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling
Applied Sciences, 2022 Numerical simulation and inversion imaging are essential in geophysics exploration. Fourier transform plays a vital role in geophysical numerical simulation and inversion imaging, especially in solving partial differential equations.
Shikun Dai +4 more
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$h$-Admissible Fourier integral operators
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: We study in this work a class of \(h\)-admissible Fourier integral operators. These operators are bounded (respectively compact) in \(L^{2}\) if the weight of the amplitude is bounded (respectively tends to 0).
Aitemrar, Chafika Amel +1 more
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On the singular integral representation of the fractional powers of Jacobi differential operators
AIMS MathematicsIn this paper, we introduce the fractional Jacobi operator and present its formulation in terms of a pseudo-differential operator via the Fourier–Jacobi transform.
Fethi Bouzeffour
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Estimation of the difference of partial sums of expansions by the root functions of the differential operator and into trigonometric Fourier series [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаWe consider a linear ordinary differential operator defined by an $n$-th order differential expression with a nonzero coefficient for $(n-1)$th derivative and Birkhoff regular two-point boundary conditions.
Rykhlov, Victor Sergeyevich
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Banach algebra of the Fourier multipliers on weighted Banach function spaces
Concrete Operators, 2015 Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ).
Karlovich Alexei
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Curvelets and Fourier Integral Operators
Comptes Rendus. Mathématique, 2003 A recent body of work introduced new tight-frames of curvelets E. Candès, D. Donoho, in: (i) Curvelets – a suprisingly effective nonadaptive representation for objects with edges (A. Cohen, C. Rabut, L. Schumaker (Eds.)), Vanderbilt University Press, Nashville, 2000, pp.
Candès, Emmanuel, Demanet, Laurent
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