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On eigendistributions in linear transport theory

Published online by Cambridge University Press:  14 November 2011

C. G. Lekkerkerker
C. G. Lekkerkerker
Affiliation:
Mathematisch Instituut, Roetersstraat 15, Amsterdam
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Synopsis

An attempt is made to provide a sound basis for the method of singular eigenfunction expansions which has been in vogue in linear transport theory for some decades. The procedure is exemplified by a treatment of the one-dimensional neutron transport equation with a degenerate scattering function. Full-range as well as half-range results are derived. At the end of the paper the implications for a certain matrix factorization problem are given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 303 - 326
Copyright
Copyright © Royal Society of Edinburgh 1979

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