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Sur les Fonctions Analytiques Multiformes dont les Valeurs Sont des Segments

Published online by Cambridge University Press:  20 November 2018

Une Baribeau
Une Baribeau*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, 16, Mill Lane, Cambridge CB2 1SB, U.K.
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Abstract

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Analytic multivalued functions are a powerful tool in spectral theory. In this paper we study analytic multivalued functions λ → K(λ) whose values are segments. Under the additional assumption that K is continuous, we prove that the endpoints of K vary locally holomorphically.

Keywords

47A1032F15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 100 - 105
Copyright
Copyright © Canadian Mathematical Society 1990

References

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