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arXiv 2014-09-15 0 views

Cʳ-right equivalence of analytic functions

Migus, Piotr

Original · EN

Let f,g:(Rⁿ,0)→ (R,0) be analytic functions. We will show that if ∇ f(0)=0 and g-f ∈ (f)ʳ⁺² then f and g are Cʳ-right equivalent, where (f) denote ideal generated by f and r∈ N.

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