Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 930-948 |
| Seitenumfang | 19 |
| Fachzeitschrift | Journal of Mathematical Sciences (United States) |
| Jahrgang | 233 |
| Ausgabenummer | 6 |
| Publikationsstatus | Veröffentlicht - Sept. 2018 |
Abstract
In the present work we study elliptic operators on manifolds with singularities in the situation where the manifold is endowed with an action of a discrete group G. As usual in elliptic theory, the Fredholm property of an operator is governed by the properties of its principal symbol. We show that the principal symbol in our situation is a pair consisting of the symbol on the main stratum (interior symbol) and the symbol at the conical point (conormal symbol). The Fredholm property of elliptic elements is obtained.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal of Mathematical Sciences (United States), Jahrgang 233, Nr. 6, 09.2018, S. 930-948.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Elliptic G-Operators on Manifolds with Isolated Singularities
AU - Savin, A. Yu
AU - Sternin, B. Yu
N1 - Publisher Copyright: © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/9
Y1 - 2018/9
N2 - In the present work we study elliptic operators on manifolds with singularities in the situation where the manifold is endowed with an action of a discrete group G. As usual in elliptic theory, the Fredholm property of an operator is governed by the properties of its principal symbol. We show that the principal symbol in our situation is a pair consisting of the symbol on the main stratum (interior symbol) and the symbol at the conical point (conormal symbol). The Fredholm property of elliptic elements is obtained.
AB - In the present work we study elliptic operators on manifolds with singularities in the situation where the manifold is endowed with an action of a discrete group G. As usual in elliptic theory, the Fredholm property of an operator is governed by the properties of its principal symbol. We show that the principal symbol in our situation is a pair consisting of the symbol on the main stratum (interior symbol) and the symbol at the conical point (conormal symbol). The Fredholm property of elliptic elements is obtained.
UR - http://www.scopus.com/inward/record.url?scp=85051164137&partnerID=8YFLogxK
U2 - 10.1007/s10958-018-3973-z
DO - 10.1007/s10958-018-3973-z
M3 - Article
AN - SCOPUS:85051164137
VL - 233
SP - 930
EP - 948
JO - Journal of Mathematical Sciences (United States)
JF - Journal of Mathematical Sciences (United States)
SN - 1072-3374
IS - 6
ER -