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The Problem of Iterates in Some Classes of Ultradifferentiable Functions

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Pseudo-Differential Operators and Generalized Functions

Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 245))

Abstract

We consider the problem of iterates in some spaces of ultradifferentiable classes in the sense of Braun, Meise and Taylor. In particular, we obtain a microlocal version, in this setting of functions, of the “Theorem of the iterates of Kotake and Narasimhan”.

On the occasion of the 60th birthday of Prof. Michael Oberguggenberger

Mathematics Subject Classification (2010). 35A18, 35A20, 35A21.

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Correspondence to Chiara Boiti .

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Boiti, C., Jornet, D. (2015). The Problem of Iterates in Some Classes of Ultradifferentiable Functions. In: Pilipović, S., Toft, J. (eds) Pseudo-Differential Operators and Generalized Functions. Operator Theory: Advances and Applications(), vol 245. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-14618-8_2

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