On the index of families of Wiener--Hopf operators
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 529-551
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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.
@article{SM_1971_13_4_a2,
author = {M. A. Shubin},
title = {On the index of families of {Wiener--Hopf} operators},
journal = {Sbornik. Mathematics},
pages = {529--551},
publisher = {mathdoc},
volume = {13},
number = {4},
year = {1971},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_13_4_a2/}
}
M. A. Shubin. On the index of families of Wiener--Hopf operators. Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 529-551. http://geodesic.mathdoc.fr/item/SM_1971_13_4_a2/