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

Access to Document

10.1098/rspa.1998.0205

Handle.net

Persistent link

Cite this

@article{00dc7a5b19cb48019d82180992fd1059,

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",

month = may,

day = "8",

doi = "10.1098/rspa.1998.0205",

language = "English",

volume = "454",

pages = "1255--1268",

journal = "Proceedings of the Royal Society A - Mathematical, Physical \& Engineering Sciences",

issn = "1364-5021",

publisher = "Royal Society Publishing",

number = "1973",

}

TY - JOUR

T1 - The spherical phylon group and invariants of the Laplace transform.

AU - Carey, AL

AU - Eastwood, MG

AU - Jupp, Peter Edmund

AU - Murray, MK

PY - 1998/5/8

Y1 - 1998/5/8

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

UR - https://www.scopus.com/pages/publications/33746691252

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

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this