On the index of elliptic operators for the group of dilations
Journal Article
·
· Sbornik. Mathematics
- Peoples Friendship University of Russia, Moscow (Russian Federation)
We investigate nonlocal operators associated with the operators of compression and expansion. We obtain an ellipticity condition, which implies that the problem has the Fredholm property, compute the index, and study how the index depends on the exponent of the Sobolev space in which the problem is considered. Bibliography: 15 titles.
- OSTI ID:
- 21612596
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 202; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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