Functional Analysis and Its Applications

, Volume 50, Issue 3, pp 225–227 | Cite as

Multiplicities of Maxwell sets of Pham singularities

  • V. A. Vassiliev
Brief Communications


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.


Maxwell set caustic isolated singularity 


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia

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