Results 31 to 40 of about 193,905 (317)
Finite-dimensional representations of the elliptic modular double [PDF]
, 2015 We investigate the kernel space of an integral operator M(g) depending on the "spin" g and describing an elliptic Fourier transformation. The operator M(g) is an intertwiner for the elliptic modular double formed from a pair of Sklyanin algebras with the
Derkachov, S. E., Spiridonov, V. P.
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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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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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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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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 integral operators on Lie groupoids
Advances in Mathematics, 2017 As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G. We also identify those Lagrangian which correspond to equivariant families parametrized by the unit space G (0) of homogeneous ...
Stéphane Vassout +2 more
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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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Wiener algebras of Fourier integral operators
Journal de Mathématiques Pures et Appliquées, 2013 AbstractWe construct a one-parameter family of algebras FIO(Ξ,s), 0⩽s⩽∞, consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of the operators in FIO(Ξ,s). The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical ...
CORDERO, Elena +3 more
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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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Generating functions for giant graviton bound states
Journal of High Energy Physics, 2023 We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order N so that the usual methods used to solve the planar limit are not applicable.
Warren Carlson +2 more
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