Approximation theorems and Nash conjecture
Alberto Tognoli (1974)
Mémoires de la Société Mathématique de France
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Displaying similar documents to “On the relative Nash approximation of analytic maps.”
Approximation theorems and Nash conjecture
An embedding theorem for real analytic spaces
F. Acquistapace, F. Broglia, A. Tognoli (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the analytic approximation of differentiable functions from above
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.
Smooth and analytic solutions for analytic linear systems.
F. Acquistapace, F. Broglia, A. Tognoli (1996)
Revista Matemática de la Universidad Complutense de Madrid
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We give some approximation theorems in the Whitney topology for a general class of analytic fiber bundles. This leads to a classification theorem which generalizes the classical ones.
Analytic curves in power series rings
Herwig Hauser, Gerd Müller (1990)
Compositio Mathematica
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A note on the extension of analytic functions off real analytic subsets.
G. Nardelli, A. Tancredi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.
Approximation of -functions without changing their zero-set
F. Broglia, A. Tognoli (1989)
Annales de l'institut Fourier
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For a function (where is a real algebraic manifold) the following problem is studied. If is an algebraic subvariety of , can be approximated by rational regular functions such that We find that this is possible if and only if there exists a rational regular function such that and g(x) for any in . Similar results are obtained also in the analytic and in the Nash cases. For non approximable functions the minimal flatness locus...