Takuo Fukuda
Abstract
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Let A be a real analytic set, M be a compact real analytic manifold and f : A × M → R be a real analytic function. Then we have a family of real analytic functions fa, a ∈ A, on M defined by fa(X) = f(a, x).
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Let A be a real analytic set, M be a compact real analytic manifold and f : A × M → R be a real analytic function. Then we have a family of real analytic functions fa, a ∈ A, on M defined by fa(X) = f(a, x).
Key concepts: Analytic function, Mathematics, Non-analytic smooth function, Global analytic function, Real-valued function, Analytic element method, Real analysis, Stratification (seeds)