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Relative elliptic Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Preprint 01 Jan 2004 Germany Publisher:Birkhäuser Basel

Authors: Nazaikinskii, Vladimir; Sternin, Boris;

doi: 10.1007/978-3-0348-7850-0_9

Relative elliptic Theory

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Abstract

This paper is a review of relative elliptic theory (i.e., elliptic theory in the category of smooth embeddings) closely related to the Sobolev problem, first studied by Sternin in the 1960s. We consider both analytic aspects of the theory (the structure of the algebra of morphisms, ellipticity, Fredholm property) and topological aspects (index formulas and Riemann—Roch theorems). We also study the algebra of Green operators arising as a subalgebra of the algebra of morphisms.

Country

Germany

Related Organizations

Russian Academy of Sciences
Russian Federation
University of Potsdam
Germany
Institute for Problems in Mechanics
Russian Federation
Independent University of Moscow
Russian Federation

Keywords

ddc:510, Institut für Mathematik

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