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Indefinite inner products: a simple illustrative example

Published online by Cambridge University Press:  03 July 2006

DAVID WILLIAMS  and
SHAUN ANDREWS
DAVID WILLIAMS
Affiliation:
Department of Mathematics, University of Wales, Swansea, Singleton Park, Swansea SA2 8PP. e-mail: dw@reynoldston.com
SHAUN ANDREWS
Affiliation:
Department of Mathematics, University of Wales, Swansea, Singleton Park, Swansea SA2 8PP. e-mail: dw@reynoldston.com
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Abstract

An example illustrates (a) that the use of indefinite inner products can illuminate Probabilistic Wiener–Hopf Theory in symmetrizable cases, and (b) that half-winding probabilities should be thought of as branching measures for Ray processes. The paper's wide variety of techniques could make it instructive for research students.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 141 , Issue 1 , July 2006 , pp. 127 - 159
Copyright
2006 Cambridge Philosophical Society

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