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arXiv · 1112.4314

Decompositions of Gelfand-Shilov kernels into kernels of similar class

Joachim Toft·Andrei Khrennikov·Börje Nilsson·Sven Nordebo
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Abstract

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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Joachim Toft, Andrei Khrennikov, Börje Nilsson, Sven Nordebo. 2012-05-10. Decompositions of Gelfand-Shilov kernels into kernels of similar class. https://arxiv.org/abs/1112.4314

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