Results 41 to 50 of about 137,274 (191)
Quasi-classical asymptotics for functions of Wiener–Hopf operators: smooth versus non-smooth symbols [PDF]
, 2016 We consider functions of Wiener–Hopf type operators on the Hilbert space $${\mathsf{L}^2(\mathbb{R}^d)}$$L2(Rd). It has been known for a long time that the quasi-classical asymptotics for traces of resulting operators strongly depend on the smoothness of
A. Sobolev
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Stability analysis of matrix Wiener–Hopf factorization of Daniele–Khrapkov class and reliable approximate factorization [PDF]
Proceedings of the Royal Society A, 2015 This paper presents new stability results for matrix Wiener–Hopf factorization. The first part of the paper examines conditions for stability of Wiener–Hopf factorization in the Daniele–Khrapkov class.
A. Kisil
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The Wiener–Hopf perspective on embedding formula: reusing solutions of boundary value problems
Royal Society Open ScienceEmbedding formula allows solutions to be reused within a family of boundary value problems by expressing a family of solutions in terms of a small number of solutions. Such formulas have been previously derived in the context of diffraction by applying a
Andrey I. Korolkov, Anastasia V. Kisil
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020 This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev +2 more
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Matrix Wiener–Hopf–Hilbert Factorisation [PDF]
SIAM Journal on Applied Mathematics, 1986 Let A(\(\lambda)\) be a \(2\times 2\)-matrix function that is analytic and nonsingular on the cut complex plane \(G={\mathbb{C}}\setminus \{\pm (k+\delta)|\delta\geq 0\}\), where Re k, Im k\(>0\), such that \(\pm k\) are only branch points singularities. A matrix Wiener-Hopf factorization \(A(\lambda)=U(\lambda)L(\lambda)^{-1}\), U (resp.
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Approximation methods for a class of discrete Wiener-Hopf equations [PDF]
Opuscula Mathematica, 2009 In this paper, we consider approximation methods for operator equations of the form \[Au + Bu = f,\] where \(A\) is a discrete Wiener-Hopf operator on \(l_p\) (\(1 \leq p \lt \infty\)) which symbol has roots on the unit circle with arbitrary ...
Michał A. Nowak
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Kendall random walk,Williamson transform, and the corresponding Wiener–Hopf factorization [PDF]
, 2015 We give some properties of hitting times and an analogue of the Wiener–Hopf factorization for the Kendall random walk. We also show that the Williamson transform is the best tool for problems connected with the Kendall convolution.
B. Jasiulis-Gołdyn +1 more
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Multivariable wiener-hopf operators I. Representations [PDF]
Integral Equations and Operator Theory, 1986 Let \(\Lambda\) be a solid closed convex cone in a Euclidean vector space X. Let \(C^*(X)\) be the \(C^*\)-algebra of operators on \(L^ 2(X)\) generated by convolutions with \(L^ 1\)-functions. Let \(1_{\Lambda}\) denote the operator of multiplication with the characteristic function of \(\Lambda\). Consider two Wiener-Hopf operator \(C^*\)-algebras: \(
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Multivariate representations of univariate marked Hawkes processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 140-174, March 2026.Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
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Advanced Science, Volume 13, Issue 12, 27 February 2026.A comprehensive technology platform enables high‐fidelity, volumetric MALDI imaging of 3D cell cultures by integrating custom embedding molds, a semi‐automated computational framework for 3D reconstruction, voxel‐instead of pixel‐based biomarker discovery, and immersive mixed reality data exploration.
Stefania Alexandra Iakab +16 more
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