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Two results concerning chirps and 2-microlocal exponents prescription

Abstract : The local behavior of a function near a Hölder singularity located at a point x_0 can be finely described by means of its 2-microlocal domain. We solve the issue of prescribing this domain. A more compact description can be given using two parameters, the Hölder exponent and the chirp exponent. We give a necessary condition satisfied by this couple of exponents considered as functions of x_0.
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https://hal.inria.fr/inria-00593247
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Bertrand Guilheneuf, Stéphane Jaffard, Jacques Lévy Véhel. Two results concerning chirps and 2-microlocal exponents prescription. Applied and Computational Harmonic Analysis, Elsevier, 1998, 5 (4), pp.487-492. ⟨10.1006/acha.1997.0241⟩. ⟨inria-00593247⟩

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