منابع مشابه
On Solutions of a System of Wiener-Hopf Integral Equations
Consider the problem of solving a system of Wiener-Hopf integral equations
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We study linear systems of functional differential equations of mixed type, both autonomous and (asymptotically hyperbolic) nonautonomous. Such equations arise naturally in various contexts, for example, in lattice differential equations. We obtain a decomposition of the state space into stable and unstable subspaces with associated semigroups or evolutionary processes. In the autonomous case w...
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We give a description of the classical Wiener-Hopf factorization from the point of view of excursion theory concentrating mainly on the case of random walks as opposed to Lévy processes. The exposition relies primarily on the ideas of Greenwood and Pitman (1979, 1980).
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Philippe Robert Inria Rocquencourt March 17, 1997 [summary by Jean-Fran cois Dantzer]
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where now N(x) is integrable in any interval which excludes the origin, O(e') as x -i o and O('/x) as x -O 0. The plus sign in the kernel now changes the entire mode of attack. While Fourier transform methods still play a dominant r6le in our work, we cannot solve the equation (1.2) in one fell swoop as we do equation (1.1). Instead we find it necessary to take advantage of the special assumpti...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1958
ISSN: 0019-2082
DOI: 10.1215/ijm/1255381348