This article is cited in 4 papers

On the index of families of Wiener–Hopf operators

M. A. Shubin


Abstract: A topological formula is obtained for the index of families of convolution operators on the halfline, enabling one to construct a homotopy invariant, depending on dimension, for multidimensional Wiener–Hopf equations on a halfspace and also to obtain examples of polynomial matrices with varying partial indices.
Bibliography: 15 titles.

UDC: 517.43

MSC: Primary 45J05, 58G10; Secondary 47B35, 47G05, 55F50

Received: 04.05.1970

 English version: Mathematics of the USSR-Sbornik, 1971, 13:4, 529–551

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