Decompositions of Gelfand-Shilov kernels into kernels of similar class

Details Decompositions of Gelfand-Shilov kernels into kernels of similar class Decompositions of Gelfand-Shilov kernels into kernels of similar class

2011-12-19

arxiv.org/abs/1112.4314v2

Mathematics

Functional Analysis

12 pages. arXiv admin note: text overlap with arXiv:1102.0336

Scientific paper

We prove that any linear operator with 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.

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