Source:http://linkedlifedata.com/resource/pubmed/id/16592293
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
12
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| pubmed:dateCreated |
2010-6-29
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| pubmed:abstractText |
The purpose of this paper is to define the Fourier transform of an arbitrary tempered distribution on a reductive Lie group. To this end we define a topological vector space, [unk](G), in terms of the classes of irreducible unitary representations of G, which plays role of a dual Schwartz space. Our main theorem then asserts that the usual L(2) Fourier transform, when restricted to functions in the Schwartz space, [unk](G) defined by Harish-Chandra, provides a topological isomorphism from [unk](G) onto [unk](G).
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Dec
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| pubmed:issn |
0027-8424
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| pubmed:author | |
| pubmed:issnType |
Print
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| pubmed:volume |
72
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
4718-9
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| pubmed:year |
1975
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| pubmed:articleTitle |
A theorem on the Schwartz space of a reductive Lie group.
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| pubmed:affiliation |
Department of Mathematics, Yale University, New Haven, Connecticut 06520.
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| pubmed:publicationType |
Journal Article
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