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Pseudo-differential operators in a Gelfand-Shilov setting

Published 15 May 2015 in math.FA | (1505.04096v2)

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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