Results 11 to 20 of about 210,731 (289)
ON SALEM’S INTEGRAL EQUATION AND RELATED CRITERIA [PDF]
Tsukuba Journal of Mathematics, 2020 We extend Salem's Integral equation to the non-homogenous form, and offer the associated criteria for the Riemann Hypothesis. Explicit solutions for the non-homogenous case are given, which in turn give further insight into Salem's criteria for the RH ...
A. E. Patkowski
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Application of a short-pulse ultra-wideband probing signal for estimating reflective characteristics [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 The paper presents a method developed for processing coherent short-pulse ultra-wideband signals reflected from a certain control zone, which makes it possible to evaluate the distribution of reflective characteristics over this zone.
Marina V. Samoilenko
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Risenologi, 2020 The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Mathematics, 2023 A set of one-dimensional (as well as one two-dimensional) Fredholm integral equations (IEs) of the first kind of convolution type is solved. The task for solving these equations is ill-posed (first of all, unstable); therefore, the Wiener parametric ...
Valery Sizikov, Nina Rushchenko
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Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]
Journal of Hyperstructures, 2016 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi +2 more
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Running coupling and non-perturbative corrections for O(N) free energy and for disk capacitor
Journal of High Energy Physics, 2022 We reconsider the complete solution of the linear TBA equation describing the energy density of finite density states in the O(N) nonlinear sigma models by the Wiener-Hopf method.
Zoltán Bajnok +3 more
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An antiplane crack emerging from the top of a composite functional gradient wedge
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023 In the paper, the problem on an interface longitudinal shear crack located between two functionally graded wedge-shaped regions and emerging from their common vertex has been considered.
Tikhomirov Victor
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Operational Quadrature Methods for Wiener-Hopf Integral Equations [PDF]
Mathematics of Computation, 1993 We study the numerical solution of Wiener-Hopf integral equations by a class of quadrature methods which lead to discrete Wiener-Hopf equations, with quadrature weights constructed from the Fourier transform of the kernel (or rather, from the Laplace transforms of the kernel halves).
Eggermont, P. P. B., Lubich, Ch.
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Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 2022 We generalize the results for Banach algebras of pseudodifferential operators obtained by Gröchenig and Rzeszotnik (Ann Inst Fourier 58:2279–2314, 2008) to quasi-algebras of Fourier integral operators. Namely, we introduce quasi-Banach algebras of symbol
E. Cordero, Gianluca Giacchi
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