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arXiv · 1805.03497

Pseudo-differential calculus in anisotropic Gelfand-Shilov setting

Ahmed Abdeljawad·Marco Cappiello·Joachim Toft
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Abstract

We study some classes of pseudo-differential operators with symbols $a$ admitting anisotropic exponential growth at infinity and we prove mapping properties for these operators on Gelfand-Shilov spaces of type S. Moreover, we deduce algebraic and certain invariance properties of these classes.

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Ahmed Abdeljawad, Marco Cappiello, Joachim Toft. 2018-05-09. Pseudo-differential calculus in anisotropic Gelfand-Shilov setting. https://arxiv.org/abs/1805.03497

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