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Finite laurent developments and the logarithmic residue theorem in the real non-analytic case

Abstract:

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 app...

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Publication status:
Published

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Publisher copy:
10.1007/s00020-003-1261-9

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Volume:
51
Issue:
4
Pages:
519-552
Publication date:
2005-04-05
DOI:
EISSN:
1420-8989
ISSN:
0378-620X
URN:
uuid:615b1f4f-99d9-4a5e-8528-c439ac38303b
Source identifiers:
20549
Local pid:
pubs:20549

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