# Weyl product algebras and modulation spaces

Patrik Wahlberg

given at  strobl07 (22.06.07 11:00)
id:  607
length:  25min
status:  accepted
type:  talk
ABSTRACT:
We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions w we prove that M_w^{p,q} is an algebra under the Weyl product if p \in [1,\infty] and 1 \leq q \leq \min(p,p'). For the remaining cases p \in [1,\infty] and \min(p,p') < q \leq \infty we show that the unweighted spaces M^{p,q} are not algebras under the Weyl product. The work has been done jointly with A. Holst and J. Toft.

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