Results 31 to 40 of about 627,768 (311)

On an Integral Equation with the Riemann Function Kernel

open access: yesAxioms, 2022
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
doaj   +1 more source

An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces [PDF]

open access: yes, 2016
A high-order accurate, explicit kernel-split, panel-based, Fourier-Nystr\"om discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains.
Helsing, Johan, Karlsson, Anders
core   +1 more source

Commutators of singular integrals revisited [PDF]

open access: yesBulletin of the London Mathematical Society, 2018
We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.
Lerner, Andrei   +2 more
openaire   +7 more sources

OPERATOR METHOD IN THE PROBLEM OF THE H-POLARIZED WAVE DIFFRACTION BY TWO SEMI-INFINITE GRATINGS PLACED IN THE SAME PLANE [PDF]

open access: yesRadio 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
doaj   +1 more source

Approximate methods for solving degenerate singular integral equations

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. Singular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has been studied quite well, but as far as the authors know, there are currently no analytical methods ...
Il'ya V. Boykov, Anastasiya A. Pivkina
doaj   +1 more source

Rank one perturbations and singular integral operators [PDF]

open access: yes, 2008
We consider rank one perturbations $A_\alpha=A+\alpha(\cdot,\varphi)\varphi$ of a self-adjoint operator $A$ with cyclic vector $\varphi\in\mathcal H_{-1}(A)$ on a Hilbert space $\mathcal H$. The spectral representation of the perturbed operator $A_\alpha$
Liaw, Constanze, Treil, Sergei
core   +2 more sources

Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

open access: yesAbstract and Applied Analysis, 2014
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
doaj   +1 more source

Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra [PDF]

open access: yes, 1995
Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the $W_N$ algebra.
Avan   +49 more
core   +2 more sources

Investigation on the Singularities of Some Singular Integrals

open access: yesComputer Modeling in Engineering & Sciences, 2011
In a boundary element method, the treatment of all the possible singular integrals is very important for the correctness and accuracy of the solutions. Generally, the directional derivative of a weakly singular integral is computed by an integral in the sense of Cauchy principal value if the directional derivative of the weakly singular integral kernel
Qiang Zhang, Zai You Yan
openaire   +2 more sources

A Regularization of Fredholm type singular integral equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
doaj   +1 more source

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