Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions [PDF]
The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schr\"{o}dinger type and an integral operator of Fourier type.
de la Iglesia, Manuel D.
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In this paper , we introduced a new subclass  which consists of analytic and valent functions with negative coefficients in the unit disk defined by integral operator .
Rafid Habib Buti
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OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
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
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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Estimates for some bilinear wave operators [PDF]
We consider some bilinear Fourier multiplier operators and give a bilinear version of Seeger, Sogge, and Stein's result for Fourier integral operators. Our results improve, for the case of Fourier multiplier operators, Rodr\'iguez-L\'opez, Rule, and Staubach's result for bilinear Fourier integral operators.
arxiv
The equiconvergence theorem for an integral operator with piecewise constant kernel
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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Generating functions for giant graviton bound states
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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The Dunkl kernel and intertwining operator for dihedral groups
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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Time and band limiting for matrix valued functions: an integral and a commuting differential operator [PDF]
The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the $1960$'s, by exploiting a "miracle": a certain naturally appearing integral operator commutes with an explicit differential one ...
Grünbaum, F. Alberto+2 more
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Banach algebra of the Fourier multipliers on weighted Banach function spaces
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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