Completeness theorems in transport theory

DOI10.1080/00411458408211652zbMath0579.47032OpenAlexW2055420561MaRDI QIDQ3702012

Paul F. Zweifel

Publication date: 1984

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458408211652

zbMATH Keywords

theoryexample of a spectral operator which is not scalarspectral representations of the operators encountered in transportspectral representations of the operators encountered in transport theory

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Transport processes in time-dependent statistical mechanics (82C70) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

A note on the singular eigenfunction method in transport theory ⋮ Transport theory revisited - 1960–1995 (A case history)

Cites Work

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• Elementary solutions of the transport equation and their applications
• Generalized kinetic equations
• Eigenfunction expansions for some nonselfadjoint operators and the transport equation
• Half-range completeness for the Fokker-Planck equation. I
• An abstract treatment of some forward-backward problems of transport and scattering
• On the spectral decompositions of the linear transport operator with periodic boundary conditions
• Spectral operators
• Partial-range completeness and existence of solutions to two-way diffusion equations
• Extension of the Case formulas to L p. Application to half and full space problems
• A functional‐analytic derivation of case's full and half‐range formulas

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