Continuity of magnetic Weyl calculus

2010/06/03 by Beltita, Ingrid, Beltita, Daniel
#22E65 #35S05 #47G30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 81S30 #Representation Theory (math.RT) #Secondary 22E25

paper · doi:10.48550/arxiv.1006.0585

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.

Related

• Algebras of symbols associated with the Weyl calculus for Lie group\n representations
• Modulation spaces of symbols for representations of nilpotent Lie groups
• Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups
• A Schatten -von Neumann class criterion for the magnetic Weyl calculus
• Symbol calculus of square-integrable operator-valued maps