Results 21 to 30 of about 651,796 (284)

Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions [PDF]

open access: yes, 2011
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.
core   +2 more sources

On A Subclass Of P- Valent Functions With Negative Coefficsients Defined By Integral Operator By Applying Fourier Series I

open access: yesJournal of Kufa for Mathematics and Computer, 2013
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
doaj   +1 more source

OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN

open access: yesRadio 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
doaj   +1 more source

Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling

open access: yesApplied 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
doaj   +1 more source

Estimates for some bilinear wave operators [PDF]

open access: yesarXiv, 2023
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

open access: yesVestnik 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
doaj   +1 more source

Generating functions for giant graviton bound states

open access: yesJournal 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
doaj   +1 more source

The Dunkl kernel and intertwining operator for dihedral groups

open access: yes, 2020
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
core   +1 more source

Time and band limiting for matrix valued functions: an integral and a commuting differential operator [PDF]

open access: yes, 2017
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
core   +2 more sources

Banach algebra of the Fourier multipliers on weighted Banach function spaces

open access: yesConcrete 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
doaj   +1 more source

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