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arXiv · 1902.02112

Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions

Vicente Asensio·David Jornet
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Abstract

We develop a theory of pseudodifferential operators of infinite order for the global classes $\mathcal{S}_ω$ of ultradifferentiable functions in the sense of Björck, following the previous ideas given by Prangoski for ultradifferentiable classes in the sense of Komatsu. We study the composition and the transpose of such operators with symbolic calculus and provide several examples.

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Vicente Asensio, David Jornet. 2019-07-01. Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions. https://doi.org/10.1007/s13398-019-00710-8

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