Results 51 to 60 of about 7,777 (145)
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source
KPZ equation, its renormalization and invariant measures [PDF]
, 2014 The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness of the forcing noise.
Funaki, Tadahisa, Quastel, Jeremy
core
Meromorphic Levy processes and their fluctuation identities [PDF]
, 2011 The last couple of years has seen a remarkable number of new, explicit examples of the Wiener-Hopf factorization for Levy processes where previously there had been very few.
Kuznetsov, Alexey +2 more
core +3 more sources
IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.The diffraction by a finite parallel‐plate waveguide cavity with perfect electric conductor loading is rigorously analysed for the E‐polarised case using the Wiener–Hopf technique. Numerical computations of the radar cross‐section have been performed for different physical parameters, providing a detailed analysis of the scattering characteristics ...
Tong Zhang, Kazuya Kobayashi
wiley +1 more source
IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.This paper investigates H‐polarised wave diffraction by a finite parallel‐plate waveguide cavity using the Wiener–Hopf technique, and numerical results are presented to illustrate the scattering characteristics under various conditions. ABSTRACT This work presents a rigorous analysis of H‐polarised wave diffraction by a finite parallel‐plate waveguide ...
Tong Zhang, Kazuya Kobayashi
wiley +1 more source
On the solution of the convolution equation with a sum-difference kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
doaj +1 more source
Clutter rank estimation for the multistage Wiener filter
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.The authors propose an algorithm that determines the rank of the sea clutter and relates it to the number of stages in the multistage Wiener filter. The algorithm presented is formulated as a model order estimation problem that utilises the minimum description length (MDL).
Rachel Gray +3 more
wiley +1 more source
Dual integral equations with Fox's H-function kernel
International Journal of Mathematics and Mathematical Sciences, 1984 The dual integral equations involving Bessel function kernels were first considered by Weber in 1873. The problem comprised of finding potential of an electrified disc which belongs to a general category of mixed boundary value problems.
R. N. Kalia
doaj +1 more source
A Perturbed Iterative Method for a General Class of Variational Inequalities [PDF]
, 1996 The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational ...
Adly, Samir
core
Singular Integral Equations of Convolution Type With Carleman Shift
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This article discusses a few different types of singular integral equations of the convolution type with Carleman shift in class {0}. By using the theory of Fourier analysis, these equations under consideration are transformed into Riemann–Hilbert boundary value problems for analytic functions with shift and discontinuous coefficients.
A. S. Nagdy +3 more
wiley +1 more source