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The spectral decomposition for a class of linear transport operators
Authors:C. Cercignani  V. Protopopescu
Affiliation:(1) Istituto di Matematica del Politecnico di Milano, Milano, Italy;(2) Present address: Sterling Chemistry Laboratory, Yale University, 06511 New Haven, Connecticut
Abstract:The spectral decomposition theorem is proved for linear transport operators with separable scattering kernels and energy-dependent collision frequency in both one- and three-dimensional geometries.
Keywords:Linear transport (Boltzmann) operator  two-dimensional spectrum  spectral decomposition  generalized eigenfunction expansion
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