Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 121 |
Seitenumfang | 20 |
Fachzeitschrift | Results in Mathematics |
Jahrgang | 77 |
Ausgabenummer | 3 |
Frühes Online-Datum | 28 Apr. 2022 |
Publikationsstatus | Veröffentlicht - Juni 2022 |
Abstract
In this paper, we derive, from a general Simonenko’s local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in Baldare et al. (Muenster J Math, 2021). Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Mathematik (sonstige)
- Mathematik (insg.)
- Angewandte Mathematik
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in: Results in Mathematics, Jahrgang 77, Nr. 3, 121, 06.2022.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A General Simonenko Local Principle and Fredholm Condition for Isotypical Components
AU - Baldare, Alexandre
N1 - Funding Information: I would like to express my gratitude to V. Nistor for useful discussions, suggestions and encouragement during the redaction of this paper. I would also like to thank M.-T. Benameur, R. Côme, P. Carrillo-Rouse, M. Lesch, P.-E. Paradan, M. Puschnigg and E. Schrohe for many helpful discussions. Last but not least, I would like to thank the referees for several very useful comments, suggestions and references. This study was partially supported by DFG, project SCHR 319/10-1.
PY - 2022/6
Y1 - 2022/6
N2 - In this paper, we derive, from a general Simonenko’s local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in Baldare et al. (Muenster J Math, 2021). Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.
AB - In this paper, we derive, from a general Simonenko’s local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in Baldare et al. (Muenster J Math, 2021). Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.
KW - C-algebra
KW - Fredholm operator
KW - group actions
KW - induced representations
KW - pseudodifferential operator
UR - http://www.scopus.com/inward/record.url?scp=85128942719&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2109.06173
DO - 10.48550/arXiv.2109.06173
M3 - Article
AN - SCOPUS:85128942719
VL - 77
JO - Results in Mathematics
JF - Results in Mathematics
SN - 1422-6383
IS - 3
M1 - 121
ER -