| dc.contributor.author | Conceição, Ana C. | |
| dc.contributor.author | Kravchenko, Viktor | |
| dc.contributor.author | Teixeira, Francisco S. | |
| dc.contributor.editor | Bottcher, A. | en_US |
| dc.contributor.editor | Kaashoek, M. A. | en_US |
| dc.contributor.editor | Lebre, A. B. | en_US |
| dc.contributor.editor | DosSantos, A. F. | en_US |
| dc.contributor.editor | Speck, F. O. | en_US |
| dc.date.accessioned | 2020-08-06T13:23:43Z | |
| dc.date.available | 2020-08-06T13:23:43Z | |
| dc.date.issued | 2003 | |
| dc.date.updated | 2020-08-06T10:03:29Z | |
| dc.description.abstract | The explicit factorization of matrix functions of the form Agamma(b) = ( (e)(b*) (b)(b*b)(+ gammae)), where b is an n x n matrix function, a represents the identity matrix, and gamma is a complex constant, is studied. To this purpose some relations between a factorization of A, and the resolvents of the self-adjoint operators N+ (b) = P(+)bP(-)b*P+ and N- (b) = P(-)b*P(+)bP(-) are analyzed. The main idea is to show that if b is a matrix function that can be represented through the decomposition b = b(-) + b(+) where at least one of the summands is a rational matrix, then it is possible to construct an algorithm that allows us to determine an effective canonical factorization of the matrix function A(gamma). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/978-3-0348-8007-7_5 | pt_PT |
| dc.identifier.isbn | 9783034894012 | |
| dc.identifier.isbn | 9783034880077 | |
| dc.identifier.other | publons.com/p/11645406/ | |
| dc.identifier.slug | cv-prod-1980894 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14627 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Birkhäuser Basel | pt_PT |
| dc.title | Factorization of matrix functions and the resolvents of certain operators | pt_PT |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 100 | pt_PT |
| oaire.citation.startPage | 91 | pt_PT |
| oaire.citation.title | Singular Integral Operators, Factorization and Applications | pt_PT |
| oaire.citation.volume | 142 | pt_PT |
| person.familyName | Guerra | |
| person.familyName | Kravchenko | |
| person.givenName | Ana | |
| person.givenName | Viktor | |
| person.identifier.ciencia-id | 751D-F809-AB4D | |
| person.identifier.orcid | 0000-0001-7103-3588 | |
| person.identifier.orcid | 0000-0003-1113-9799 | |
| person.identifier.rid | D-9456-2013 | |
| person.identifier.scopus-author-id | 17345059500 | |
| person.identifier.scopus-author-id | 55347180800 | |
| rcaap.cv.cienciaid | 751D-F809-AB4D | Ana C Conceição | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | bookPart | pt_PT |
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| relation.isAuthorOfPublication.latestForDiscovery | 7b904311-5ea0-4d96-b7b1-c3e05816817c |
