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Title: | Configurations of zeroes of analytic functions | Authors: | CAUBERGH, Magdalena | Issue Date: | 2001 | Publisher: | EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | Source: | COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 333(4). p. 307-312 | Abstract: | The paper deals with analytic families of functions (f(lambda))(lambda) with f(lambda0) equivalent to 0. We want to investigate what kind of configurations of zeroes can arise from a given non-isolated zero of f(lambda), with lambda close to lambda (0). This investigation can be reduced to the study of all I-parameter subfamilies, which are induced from (f(lambda))(lambda) by analytic curves through lambda (0). Finally, we give an application of this result in the theory of dynamical systems. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS. | Notes: | Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.Caubergh, M, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/2620 | ISSN: | 0764-4442 | ISI #: | 000171497600008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2002 |
Appears in Collections: | Research publications |
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