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On the eigenfunction expansion of the transport semigroup for a bounded convex body

 

作者: Xu Genqi,   Yang Mingzhu,   Wang Shenhua,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1997）
卷期: Volume 26, issue 1-2  

页码: 271-278

 

ISSN:0041-1450

 

年代: 1997

 

DOI:10.1080/00411459708221790

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We give a complete description of the spectrum of the transport operator for a bounded convex body. We show that the Jorgen's spectra satisfy the summability: σ < ∞ where τ is the maximum escape time. Moreover, we obtain the eigenfunction expansion of the transport semigroupEt) for allt> 6τ.

 

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