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23.—The Linear Transport Equation. The Degenerate Case c = 1. II. Half-range Theory

Published online by Cambridge University Press:  14 February 2012

C. G. Lekkerkerker
Affiliation:
Institute of Mathematics, University of Amsterdam

Extract

We use the notations and results of Part I of this paper [see 7]. Sections and formulae of that paper will be referred to as section I.4, formula (1.5), etc. In particular, T, A, TN0, K, σ, F and Λ(λ) will have the same meaning as in [7].

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

1Case, K. M. and Zweifel, P. F.. Linear transport theory (Reading, Mass: Addison-Wesley, 1967).Google Scholar
2Dym, H. and McKean, H. P.. Fourier series and integrals (New York: Academic Press, 1972).Google Scholar
3Friedman, A. Partial differential equations (New York: Holt, Rinehart and Winston, 1969).Google Scholar
4Hangelbroek, R. J.. A functional analytic approach to the linear transport equation (Groningen: Univ. Thesis, 1973).Google Scholar
5Hangelbroek, R. J. and Lekkerkerker, C. G.. Decompositions of a Hilbert space and factorization of a W-A determinant. SIAMJ. Math. Anal., to appear.Google Scholar
6Kato, T.. Perturbation theory for linear operators (Berlin: Springer, 1967).Google Scholar
7Lekkerkerker, C. G.. The linear transport equation. The degenerate case c = 1.1. Full range theory. Proc. Roy. Soc. Edinburgh Sect A, 75 (1976), 259–282.Google Scholar
8Wing, G. M.. An introduction to transport theory (New York: Wiley, 1962).Google Scholar