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The pseudo-differential calculus in a Bargmann setting by Teofanov, Nenad; Toft, Joachim is a scholarly article available to read on EtoBox.

What is The pseudo-differential calculus in a Bargmann setting about?

We give a fundament for Berezin's analytic $\Psi$do considered in \cite{Berezin71} in terms of Bargmann images of Pilipovi{\'c} spaces. We deduce basic continuity results for such $\Psi$do, especially when the operator kernels are in suitable mixed weighted Lebesgue spaces and act on certain weighted Lebesgue spaces of entire functions. In particular, we show how these results imply well-known continuity results for real $\Psi$do with symbols in modulation spaces, when acting on other modulation spaces.

Author

Teofanov, Nenad; Toft, Joachim

Published

2019

Language

EN