# Invariants of bi-Lipschitz equivalence of real analytic functions

Jean-Pierre Henry; Adam Parusiński

Banach Center Publications (2004)

- Volume: 65, Issue: 1, page 67-75
- ISSN: 0137-6934

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topJean-Pierre Henry, and Adam Parusiński. "Invariants of bi-Lipschitz equivalence of real analytic functions." Banach Center Publications 65.1 (2004): 67-75. <http://eudml.org/doc/282431>.

@article{Jean2004,

abstract = {We construct an invariant of the bi-Lipschitz equivalence of analytic function germs (ℝⁿ,0) → (ℝ,0) that varies continuously in many analytic families. This shows that the bi-Lipschitz equivalence of analytic function germs admits continuous moduli. For a germ f the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the sets where the size of |x| |grad f(x)| is comparable to the size of |f(x)|.},

author = {Jean-Pierre Henry, Adam Parusiński},

journal = {Banach Center Publications},

keywords = {real analytic function; bi-Lipschitz equivalence},

language = {eng},

number = {1},

pages = {67-75},

title = {Invariants of bi-Lipschitz equivalence of real analytic functions},

url = {http://eudml.org/doc/282431},

volume = {65},

year = {2004},

}

TY - JOUR

AU - Jean-Pierre Henry

AU - Adam Parusiński

TI - Invariants of bi-Lipschitz equivalence of real analytic functions

JO - Banach Center Publications

PY - 2004

VL - 65

IS - 1

SP - 67

EP - 75

AB - We construct an invariant of the bi-Lipschitz equivalence of analytic function germs (ℝⁿ,0) → (ℝ,0) that varies continuously in many analytic families. This shows that the bi-Lipschitz equivalence of analytic function germs admits continuous moduli. For a germ f the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the sets where the size of |x| |grad f(x)| is comparable to the size of |f(x)|.

LA - eng

KW - real analytic function; bi-Lipschitz equivalence

UR - http://eudml.org/doc/282431

ER -

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