Decompositions of Gelfand-Shilov kernels into kernels of similar class

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Toft, Joachim¹  Khrennikov, Andrei¹  Nilsson, Borje¹  Nordebo, Sven¹ 

[1] Linnaeus Univ, Dept Comp Sci Phys & Math, Vaxjo, Sweden

关键词: Matrices;    Hermite functions;    Kernel theorems;    Schatten-von Neumann operators;    Singular values;   

DOI  :  10.1016/j.jmaa.2012.06.025

来源: Elsevier

【 摘 要 】

We prove that any linear operator with a kernel in a Gelfand-Shilov space is a composition of two operators with kernels in the same Gelfand-Shilov space. We also give links on numerical approximations for such compositions. We apply these composition rules to establish Schatten-von Neumann properties for such operators. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free