On the spectral decompositions of the linear transport operator with periodic boundary conditions

N. Angelescu; N. Marinescu; V. Protopopescu

doi:10.1007/BF00398489

On the spectral decompositions of the linear transport operator with periodic boundary conditions

N. Angelescu
, N. Marinescu
, V. Protopopescu

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.

Original language	English
Pages (from-to)	329-333
Number of pages	5
Journal	Letters in Mathematical Physics
Volume	1
Issue number	4
DOIs	https://doi.org/10.1007/BF00398489
State	Published - Dec 1976
Externally published	Yes

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title = "On the spectral decompositions of the linear transport operator with periodic boundary conditions",

abstract = "It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.",

author = "N. Angelescu and N. Marinescu and V. Protopopescu",

year = "1976",

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AU - Marinescu, N.

AU - Protopopescu, V.

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N2 - It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.

AB - It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.

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DO - 10.1007/BF00398489

M3 - Article

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VL - 1

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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

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On the spectral decompositions of the linear transport operator with periodic boundary conditions

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