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Pseudo-differential calculus in anisotropic Gelfand-Shilov setting

Published 9 May 2018 in math.FA | (1805.03497v1)

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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