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Ideals of Differentiable Functions

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Author(s): B. Malgrange
Series: Tata Institute of Fundamental Research. Studies in mathematics 3
Publisher: OUP
Year: 1966

Language: English
Pages: 117

Introduction......Page 5
WHITNEY'S EXTENSION THEOREM......Page 7
CLOSED IDEALS......Page 30
ANALYTIC AND DIFFERENTIABLE ALGEBRAS......Page 35
METRIC AND DIFFERENTIAL PROPERTIES OF ANALYTIC SETS......Page 62
THE PREPARATION THEOREM FOR DIFFERENTIABLE FUNCTIONS......Page 76
IDEALS DEFINED BY ANALYTIC FUNCTIONS......Page 92
APPLICATIONS TO THE THEORY OF DISTRIBUTIONS......Page 108