Generalized translations associated with an unbounded self-adjoint operator
1986 ◽
Vol 99
(3)
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pp. 519-528
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Keyword(s):
Delsarte [2], Povzner [9], Levitan [8], Leblanc [7], Dunford and Schwartz [3] (p. 1626) and Hutson and Pym [5] have discussed generalized translation operators (GTO) ‘associating with a differential operator’. The latter authors have also considered the topic in an abstract setting-the GTO ‘associates’ with a compact operator in a normed space. GTO are to have properties generalizing those of the translation operators defined by members of a group on a vector space E of functions defined on the group:(πεE, s and t are group elements). In the case of a locally compact topological group the integration spaces E = L1,L2,L∞, for a Haar measure of the group, are of especial interest.
1958 ◽
Vol 11
(2)
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pp. 71-77
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1984 ◽
Vol 96
(3)
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pp. 437-445
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1969 ◽
Vol 65
(1)
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pp. 33-45
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2008 ◽
Vol 78
(1)
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pp. 171-176
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1984 ◽
Vol 87
(3)
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pp. 299-313
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1975 ◽
Vol 77
(2)
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pp. 337-347
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1971 ◽
Vol 23
(3)
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pp. 413-420
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1996 ◽
Vol 48
(6)
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pp. 1273-1285
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