Finite laurent developments and the logarithmic residue theorem in the real non-analytic case
This paper develops a general abstract non-holomorphic operator calculus under minimal regularity requirements on the family of operators through the concept of algebraic eigenvalue and the use of a, very recent, transversalization theory. Further, it analyzes under what conditions the inverse of a...
| Autori principali: | , |
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| Natura: | Journal article |
| Lingua: | English |
| Pubblicazione: |
2005
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| _version_ | 1826275445025275904 |
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| author | Lopez-Gomez, J Mora-Corral, C |
| author_facet | Lopez-Gomez, J Mora-Corral, C |
| author_sort | Lopez-Gomez, J |
| collection | OXFORD |
| description | This paper develops a general abstract non-holomorphic operator calculus under minimal regularity requirements on the family of operators through the concept of algebraic eigenvalue and the use of a, very recent, transversalization theory. Further, it analyzes under what conditions the inverse of a non-analytic family admits a finite Laurent development, and employs the new findings to calculate the multiplicity of a real non-analytic family through a logarithmic residue, so extending the applicability of the classical theory of I. C. Gohberg and coworkers. Applications to matrix families and Nonlinear Analysis are also explained. © 2005 Birkhäuser Verlag, Basel/Switzerland. |
| first_indexed | 2024-03-06T22:58:48Z |
| format | Journal article |
| id | oxford-uuid:615b1f4f-99d9-4a5e-8528-c439ac38303b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:58:48Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:615b1f4f-99d9-4a5e-8528-c439ac38303b2022-03-26T17:59:21ZFinite laurent developments and the logarithmic residue theorem in the real non-analytic caseJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:615b1f4f-99d9-4a5e-8528-c439ac38303bEnglishSymplectic Elements at Oxford2005Lopez-Gomez, JMora-Corral, CThis paper develops a general abstract non-holomorphic operator calculus under minimal regularity requirements on the family of operators through the concept of algebraic eigenvalue and the use of a, very recent, transversalization theory. Further, it analyzes under what conditions the inverse of a non-analytic family admits a finite Laurent development, and employs the new findings to calculate the multiplicity of a real non-analytic family through a logarithmic residue, so extending the applicability of the classical theory of I. C. Gohberg and coworkers. Applications to matrix families and Nonlinear Analysis are also explained. © 2005 Birkhäuser Verlag, Basel/Switzerland. |
| spellingShingle | Lopez-Gomez, J Mora-Corral, C Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title | Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title_full | Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title_fullStr | Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title_full_unstemmed | Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title_short | Finite laurent developments and the logarithmic residue theorem in the real non-analytic case |
| title_sort | finite laurent developments and the logarithmic residue theorem in the real non analytic case |
| work_keys_str_mv | AT lopezgomezj finitelaurentdevelopmentsandthelogarithmicresiduetheoremintherealnonanalyticcase AT moracorralc finitelaurentdevelopmentsandthelogarithmicresiduetheoremintherealnonanalyticcase |