Continuity of magnetic Weyl calculus
Ingrid Beltita, Daniel Beltita
TL;DR
This paper studies the continuity of operators derived from the magnetic Weyl calculus on nilpotent Lie groups, utilizing modulation spaces linked to unitary representations of infinite-dimensional Lie groups.
Contribution
It introduces new continuity results for magnetic Weyl calculus operators on nilpotent Lie groups using advanced modulation space techniques.
Findings
Established continuity properties of magnetic Weyl operators.
Connected modulation spaces with infinite-dimensional Lie group representations.
Provided a framework for analyzing magnetic pseudodifferential operators.
Abstract
We investigate continuity properties of the operators obtained by the magnetic Weyl calculus on nilpotent Lie groups, using modulation spaces associated with unitary representations of certain infinite-dimensional Lie groups.
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