Approximation by polynomials in the complex domain
J. L. Walsh
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J. L. Walsh
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Arne Stray (1995)
Publicacions Matemàtiques
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Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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William Bosch (1973)
Publications de l'Institut Mathématique
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Alessandro Tancredi, Alberto Tognoli (2002)
Bollettino dell'Unione Matematica Italiana
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We determine conditions in order that a differentiable function be approximable from above by analytic functions, being left invariate on a fixed analytic subset which is a locally complete intersection.
Guillaume Valette (2005)
Annales Polonici Mathematici
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We give criteria of finite determinacy for the volume and multiplicities. Given an analytic set described by {v = 0}, we prove that the log-analytic expansion of the volume of the intersection of the set and a "little ball" is determined by that of the set defined by the Taylor expansion of v up to a certain order if the mapping v has an isolated singularity at the origin. We also compare the cardinalities of finite fibers of projections restricted to such a set.
Dubinin, V.N., Èĭrikh, N.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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