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Some remarks on index of matrix singular integral operators in non‐smooth domains
Author(s) -
Vasilyev V.B.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700822
Subject(s) - mathematics , noetherian , factorization , pure mathematics , symbol (formal) , matrix (chemical analysis) , index (typography) , reduction (mathematics) , property (philosophy) , joint (building) , algebra over a field , mathematical analysis , algorithm , computer science , geometry , philosophy , engineering , materials science , epistemology , world wide web , programming language , composite material , architectural engineering
Abstract On manifolds with non‐smooth boundaries the Mikhlin‐Calderon‐Zygmund operators with a matrix symbol are considered. The Noetherian property conditions (wave factorization) and reduction to Atiyah‐Singer theorem are described. These results were obtained through joint work with I.V. Scherbenko. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)