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arXiv · 1505.04096

Pseudo-differential operators in a Gelfand-Shilov setting

Marco Cappiello·Joachim Toft
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Abstract

We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on Gelfand-Shilov spaces both in the quasi-analytic and in the non-quasi-analytic case. Moreover, we prove composition theorems and certain invariance properties of these classes.

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Marco Cappiello, Joachim Toft. 2015-05-15. Pseudo-differential operators in a Gelfand-Shilov setting. https://arxiv.org/abs/1505.04096

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