Pseudo‐differential operators in a Gelfand–Shilov setting

By Marco Cappiello, J. Toft. 2015

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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. Moreover, we deduce composition and certain invariance properties of these classes.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d6b4d792d04372646a5a948d7bd7d4f317b49e01