Boundary singularities with a simple decomposition

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Abstract

We define the decomposition of a boundary singularity as a pair (a singularity in the ambient space together with a singularity of the restriction to the boundary). We prove that the Lagrange transform is an involution on the set of boundary singularities that interchanges the singularities that occur in the decomposition of a boundary singularity. We classify the boundary singularities for which both of these singularities are simple. Bibliography: 8 titles.

Original languageEnglish
Pages (from-to)1681-1693
Number of pages13
JournalJournal of Mathematical Sciences
Volume60
Issue number5
DOIs
StatePublished - 1992

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