Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements. In addition, under such conditions, we will derive a formula for the sum of the Fredholm indices of...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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oai:scielo:S0719-064620100002000142018-10-08Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic SymbolsCastro,L. PSilva,A. S. Fredholm property Fredholm index Wiener-Hopf operator Hankel operator semi-almost periodic matrix-valued function We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements. In addition, under such conditions, we will derive a formula for the sum of the Fredholm indices of theseWiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators. Some examples are provided to illustrate the results of the paper.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200014en10.4067/S0719-06462010000200014 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Fredholm property Fredholm index Wiener-Hopf operator Hankel operator semi-almost periodic matrix-valued function |
spellingShingle |
Fredholm property Fredholm index Wiener-Hopf operator Hankel operator semi-almost periodic matrix-valued function Castro,L. P Silva,A. S. Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
description |
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements. In addition, under such conditions, we will derive a formula for the sum of the Fredholm indices of theseWiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators. Some examples are provided to illustrate the results of the paper. |
author |
Castro,L. P Silva,A. S. |
author_facet |
Castro,L. P Silva,A. S. |
author_sort |
Castro,L. P |
title |
Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
title_short |
Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
title_full |
Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
title_fullStr |
Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
title_full_unstemmed |
Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols |
title_sort |
fredholm property of matrix wiener-hopf plus and minus hankel operators with semi-almost periodic symbols |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2010 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200014 |
work_keys_str_mv |
AT castrolp fredholmpropertyofmatrixwienerhopfplusandminushankeloperatorswithsemialmostperiodicsymbols AT silvaas fredholmpropertyofmatrixwienerhopfplusandminushankeloperatorswithsemialmostperiodicsymbols |
_version_ |
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