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arxiv: 1112.4314 · v3 · pith:PAQRI33Inew · submitted 2011-12-19 · 🧮 math.FA · math.OA

Decompositions of Gelfand-Shilov kernels into kernels of similar class

classification 🧮 math.FA math.OA
keywords gelfand-shilovkernelscompositionoperatorsspaceapplyapproximationsclass
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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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