Some remarks on index of matrix singular integral operators in non‐smooth domains | Zendy

Vasilyev V.B. | Zendy

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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

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)

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