Convolution and H-equations for operator-valued functions with applications to neutron transport theory
- 1 April 1977
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (4) , 764-769
- https://doi.org/10.1063/1.523305
Abstract
The Wiener–Hopf factorization of certain-valued functions is related to operator-valued generalizations of Chandrasekhar’s H-functions. These functions satisfy a nonlinear system and may be computed by an iterative scheme. A general transport equation is solved in terms of these functions. The equation for steady-state transport in one space dimension with isotropic scattering and continuous energy dependence is discussed as an application.Keywords
This publication has 7 references indexed in Scilit:
- Multigroup neutron transport. II. Half rangeJournal of Mathematical Physics, 1976
- Multigroup neutron transport. I. Full rangeJournal of Mathematical Physics, 1976
- A functional‐analytic derivation of case's full and half‐range formulasCommunications on Pure and Applied Mathematics, 1973
- Wiener-Hopf factorizationsTransport Theory and Statistical Physics, 1973
- Steady-State Solutions in the Two-Group Theory of Neutron DiffusionJournal of Mathematical Physics, 1972
- The factorization problem for operator functionsAmerican Mathematical Society Translations: Series 2, 1966
- Integral equations on a half-line with kernel depending upon the difference of the argumentsAmerican Mathematical Society Translations: Series 2, 1962