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Wavefront sets and polarizations on supermanifolds

Dappiaggi, Claudio, Gimperlein, Heiko, Murro, Simone and Schenkel, Alexander (2015) Wavefront sets and polarizations on supermanifolds. Preprintreihe der Fakultät Mathematik 19/2015, Working Paper. (Submitted)

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Date of publication of this fulltext: 12 Jan 2016 13:56

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Abstract

In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a suitable notion of super wavefront set for superdistributions which generalizes Dencker's polarization sets for vector-valued distributions to supergeometry. In particular, our super wavefront sets detect ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2015
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
1512.07823arXiv ID
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:33151
Owner only: item control page

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