A New Proof of the Wiener-Hopf Factorization via Basu's Theorem
Keyword(s):
We illustrate how Basu's theorem can be used to derive the spatial version of the Wiener-Hopf factorization for a specific class of piecewise-deterministic Markov processes. The classical factorization results for both random walks and Lévy processes follow immediately from our result. The approach is particularly elegant when used to establish the factorization for spectrally one-sided Lévy processes.
1999 ◽
Vol 02
(01)
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pp. 105-129
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2006 ◽
Vol 130
(8)
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pp. 697-706
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2007 ◽
Vol 35
(3)
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pp. 954-1006
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2017 ◽
Vol 170
(3-4)
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pp. 891-932
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