Fourier type transforms on Lie symmetry groups

Craddock, M

Fourier type transforms on Lie symmetry groups

Craddock, M

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Publication Type:: Journal Article
Citation:: Journal of Mathematical Physics, 2015, 56 (9)
Issue Date:: 2015-01-01

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Field	Value	Language
dc.contributor.author	Craddock, M	en_US
dc.date.issued	2015-01-01	en_US
dc.identifier.citation	Journal of Mathematical Physics, 2015, 56 (9)	en_US
dc.identifier.issn	0022-2488	en_US
dc.identifier.uri	http://hdl.handle.net/10453/37682
dc.description.abstract	© 2015 AIP Publishing LLC. In this paper, we construct operators on a Lie symmetry group which may be regarded as Fourier transforms. Essentially, we integrate solutions generated by Lie symmetries against suitable test functions. We show that this idea leads to a powerful method for solving Cauchy problems for parabolic and hyperbolic equations in two and higher dimensions. We also discuss applications to the elliptic case.	en_US
dc.relation.ispartof	Journal of Mathematical Physics	en_US
dc.relation.isbasedon	10.1063/1.4929653	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Fourier type transforms on Lie symmetry groups	en_US
dc.type	Journal Article
utslib.citation.volume	9	en_US
utslib.citation.volume	56	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
pubs.organisational-group	/University of Technology Sydney/Strength - QFRC - Quantitative Finance Research Centre
utslib.copyright.status	open_access
pubs.issue	9	en_US
pubs.publication-status	Published	en_US
pubs.volume	56	en_US

Abstract:

© 2015 AIP Publishing LLC. In this paper, we construct operators on a Lie symmetry group which may be regarded as Fourier transforms. Essentially, we integrate solutions generated by Lie symmetries against suitable test functions. We show that this idea leads to a powerful method for solving Cauchy problems for parabolic and hyperbolic equations in two and higher dimensions. We also discuss applications to the elliptic case.

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http://hdl.handle.net/10453/37682