Index theory and elliptic boundary value problems. Remarks and open problems
Bernhelm Booss, Bert Schulze (1983)
Banach Center Publications
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Bernhelm Booss, Bert Schulze (1983)
Banach Center Publications
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Nazaikinskii, V.E., Sternin, B.Yu. (2006)
Abstract and Applied Analysis
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Robert B. Lockhart, Robert C. Mc Owen (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Boris Sternin (2011)
Open Mathematics
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We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.
Anton Savin (2011)
Open Mathematics
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We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.
Bert Schulze (1983)
Banach Center Publications
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Nestke, A., Zickermann, F.
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Marc Herzlich (2000)
Journées équations aux dérivées partielles
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We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.