A converse of Bernstein's inequality for locally compact groups
1973 ◽
Vol 9
(2)
◽
pp. 291-298
Keyword(s):
Let G be a Hausdorff locally compact abelian group, Γ its character group. We shall prove that, if S is a translation-invariant subspace of Lp (G) (p ∈ [1, ∞]),for each a ∈ G and , then is relatively compact (where Σ(f) denotes the spectrum of f). We also obtain a similar result when G is a Hausdorff compact (not necessarily abelian) group. These results can be considered as a converse of Bernstein's inequality for locally compact groups.
1974 ◽
Vol 11
(2)
◽
pp. 315-316
Keyword(s):
2016 ◽
Vol 37
(7)
◽
pp. 2163-2186
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1968 ◽
Vol 9
(2)
◽
pp. 87-91
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Keyword(s):
1959 ◽
Vol 11
(4)
◽
pp. 195-206
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1995 ◽
Vol 118
(2)
◽
pp. 303-313
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2003 ◽
Vol 68
(2)
◽
pp. 345-350
1987 ◽
Vol 39
(1)
◽
pp. 123-148
◽
Keyword(s):
1964 ◽
Vol 60
(3)
◽
pp. 465-516
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