The spherical phylon group and invariants of the Laplace transform.

AL Carey, MG Eastwood, Peter Edmund Jupp, MK Murray

Research output: Contribution to journalArticlepeer-review


The spherical phylon group is introduced. It is a subgroup of the group of all formal diffeomorphisms of R-d which fix the origin. The invariant theory of the spherical phylon group is used to understand the invariants of the Laplace approximation. A general formula for these invariants is given.

Original languageEnglish
Pages (from-to)1255-1268
Number of pages14
JournalProceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences
Issue number1973
Publication statusPublished - 8 May 1998


  • statistics
  • differential geometry, jets
  • phylon groups, invariants
  • asymptotic expansions
  • Morse theory


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