Spectral Mapping Theorems for Neutron Transport, L1-Theory |
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Authors: | Mustapha Mokhtar-Kharroubi Mohammed Sbihi |
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Affiliation: | (1) Laboratoire de Mathematiques de Besancon, Universite de Franche Comte, 16, Route de Gray, 25030, Besancon, France |
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Abstract: | This work deals with spectral mapping theorems for neutron transport semigroups in unbounded geometries and L1 setting. The mathematical analysis relies on harmonic analysis of certain measure valued mappings related to Dyson-Phillips expansions and on some functional analytic results on the critical spectrum. |
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