Wiener-Hopf equation: Kernels representable as a superposition of complex-valued exponents
type: Item
instance of: scholarly article
title: Wiener-Hopf equation: Kernels representable as a superposition of complex-valued exponents
zbMATH Open document ID: 1152.45002
DOI: 10.3103/S106836230705007X
author: A. Khachatryan
author: Ts. E. Terdzhyan
published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
publication date: 2008-09-12T00:00:00Z
review text: The authors prove the unique solvability of the Wiener-Hopf integral equation \[ f(x)=g(x)+\int_0^\infty K(x-t)f(t)\,dt, \] where \(K(x)=\int_a^b e^{-| x| \lambda p}\, d\sigma(p)\) for a nondecreasing function \(\sigma\).
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5343538
zbMATH Keywords: Wiener-Hopf integral equation
zbMATH Keywords: Wiener-Hopf factorization
zbMATH Keywords: symbol of operator
zbMATH Keywords: uninvertible operator
zbMATH Keywords: complex-valued kernel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5343538