Vicente Asensio, David Jornet
Published 2019-02-06Version 1
We develop a theory of pseudodifferential operators of infinite order for the global classes $\mathcal{S}_{\omega}$ of ultradifferentiable functions in the sense of Bj\"orck, 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.
Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in $\mathbb R^n$
![QR code for arXiv:1902.02112 [math.AP]](http://oss.arxitics.com/images/favicon.svg)