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TimeIndependent Transport Equations
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analysis analytic apply associated assume assumptions automorphism Banach space belongs boundary value problems bounded Chapter closed coincides collision compact complex condition consider consists constant contains continuous contour corresponding decomposition defined definition denote determined differential direct discussion distribution domain eigenfunction eigenvalue element equal example exists expression extended fact factorization finite formula function Furthermore given half-range Hence Hilbert space holds holomorphic identity implies inside integral interval inverse isomorphism Lemma limit linear transport maps means measure medium method multiple neutron norm obtain origin pair particle perturbation polynomial polynomial function positive problem projection PROOF properties prove reactor relation representation represented resolvent respectively restriction result satisfy scattering semigroup shows similar simple solution spectral spectrum subspaces Theorem theory tion topological transformation F transport equation transport operator unique vector zero