The spherical phylon group and invariants of the Laplace transform.

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

doi:10.1098/rspa.1998.0205

The spherical phylon group and invariants of the Laplace transform.

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

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1255-1268
Number of pages	14
Journal	Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences
Volume	454
Issue number	1973
DOIs	https://doi.org/10.1098/rspa.1998.0205
Publication status	Published - 8 May 1998

Keywords

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

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10.1098/rspa.1998.0205

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title = "The spherical phylon group and invariants of the Laplace transform.",

abstract = "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.",

keywords = "statistics, differential geometry, jets, phylon groups, invariants, asymptotic expansions, Morse theory",

author = "AL Carey and MG Eastwood and Jupp, {Peter Edmund} and MK Murray",

year = "1998",

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language = "English",

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AU - Carey, AL

AU - Eastwood, MG

AU - Jupp, Peter Edmund

AU - Murray, MK

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N2 - 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.

AB - 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.

KW - statistics

KW - differential geometry, jets

KW - phylon groups, invariants

KW - asymptotic expansions

KW - Morse theory

U2 - 10.1098/rspa.1998.0205

DO - 10.1098/rspa.1998.0205

M3 - Article

SN - 1364-5021

VL - 454

SP - 1255

EP - 1268

JO - Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences

JF - Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences

IS - 1973

ER -

The spherical phylon group and invariants of the Laplace transform.

Abstract

Keywords

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