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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Autores principales: Castro,L. P, Silva,A. S.
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200014
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spelling 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
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