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Multiplicities of Maxwell sets of Pham singularities

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Abstract

A two-sided estimate of local multiplicities of Maxwell sets of isolated singularities of smooth functions is proved. This estimate is sharp for semi-homogeneous functions.

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References

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    V. A. Vassiliev

  2. National Research University Higher School of Economics, Moscow, Russia

    V. A. Vassiliev

Authors
  1. V. A. Vassiliev
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Correspondence to V. A. Vassiliev.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 50, No. 3, pp. 73–76, 2016 Original Russian Text Copyright © by V. A. Vassiliev

Research supported by the Russian Science Foundation grant, project 16-11-10316.

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Vassiliev, V.A. Multiplicities of Maxwell sets of Pham singularities. Funct Anal Its Appl 50, 225–227 (2016). https://doi.org/10.1007/s10688-016-0150-3

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  • DOI: https://doi.org/10.1007/s10688-016-0150-3

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