Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators

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dc.creatorNazaikinskii, V. E.
dc.creatorSavin, A. Yu.
dc.creatorSternin, B. Yu.
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:21:46Z
dc.date.available2026-07-07T07:21:46Z
dc.descriptionIn this first part of the paper, we define a natural dual object for manifolds with corners and show how pseudodifferential calculus on such manifolds can be constructed in terms of the localization principle in C*-algebras. In the second part, these results will be applied to the solution of Gelfand's problem on the homotopy classification of elliptic operators for the case of manifolds with corners.
dc.description21 pages, 2 figures. Submitted to the proceedings of the Conference "C*-algebras and elliptic theory. II" (Banach Center, Bedlewo, Poland, January 23--28, 2006)
dc.identifierhttps://arxiv.org/abs/math/0608353
dc.identifierhttp://arxiv.org/abs/math/0608353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115420
dc.subjectOperator Algebras
dc.subjectAnalysis of PDEs
dc.subject58J40 (Primary) 47G30, 32S05 (Secondary)
dc.titleElliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators
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