Details
| Original language | English |
|---|---|
| Article number | 121 |
| Number of pages | 20 |
| Journal | Results in Mathematics |
| Volume | 77 |
| Issue number | 3 |
| Early online date | 28 Apr 2022 |
| Publication status | Published - Jun 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.
Keywords
- C-algebra, Fredholm operator, group actions, induced representations, pseudodifferential operator
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
- Mathematics(all)
- Applied Mathematics
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In: Results in Mathematics, Vol. 77, No. 3, 121, 06.2022.
Research output: Contribution to journal › Article › Research › 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 -