Analytic curves in power series rings
Herwig Hauser, Gerd Müller (1990)
Compositio Mathematica
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Displaying similar documents to “On the Euler characteristic of the real Milnor fibres of an analytic function”
Analytic curves in power series rings
Basic Properties of Real Analytic and Semianalytic Germs
Jesùs M. Ruiz (1986)
Publications mathématiques et informatique de Rennes
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Volume and multiplicities of real analytic sets
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.
Analytic and C-analytic functions.
Jovan D. Keckic (1969)
Publications de l'Institut Mathématique [Elektronische Ressource]
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On some properties of analytic functions
Tsin-Hwa Shu (1961)
Annales Polonici Mathematici
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Some applications of generalized condensers in the theory of analytic functions.
Dubinin, V.N., Èĭrikh, N.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Analytic functions in general analysis
Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On Sandwich Theorem of Analytic Functions Involving Integral Operator
Aouf, M. K., Shamandy, A., Mostafa, A. O., Madian, S. M. (2011)
Mathematica Balkanica New Series
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2000 Mathematics Subject Classification: 30C45
A generalised Mazurkiewicz-Sierpiński theorem with an application to analytic sets
R. M. Shortt (1987)
Colloquium Mathematicae
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Analytic continuation for some classes of separately analytic functions of real variables
Nguyen Thanh Van (2003)
Annales Polonici Mathematici
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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
Meta-Analytic Functions Of Equal Modulus
William Bosch (1973)
Publications de l'Institut Mathématique
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Motivic-type invariants of blow-analytic equivalence
Satoshi Koike, Adam Parusiński (2003)
Annales de l'Institut Fourier
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To a given analytic function germ , we associate zeta functions , , defined analogously to the motivic zeta functions of Denef and Loeser. We show that our zeta functions are rational and that they are invariants of the blow-analytic equivalence in the sense of Kuo. Then we use them together with the Fukui invariant to classify the blow-analytic equivalence classes of Brieskorn polynomials of two variables. Except special series of singularities our method classifies as well the blow-analytic...