The range of non-surjective convolution operators on Beurling spaces
1996 ◽
Vol 38
(1)
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pp. 125-135
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Keyword(s):
AbstractLet μ ≠ 0 be an ultradistribution of Beurling type with compact support in the space . We investigate the range of the convolution operator Tμ on the space of non-quasianalytic functions of Beurling type associated with a weight w, in the case the operator is not surjective. It is proved that the range of TM always contains the space of real-analytic functions, and that it contains a smaller space of Beurling type for a weight σ ≥ ω if and only if the convolution operator is surjective on the smaller class.
1995 ◽
Vol 131
(1)
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pp. 78-93
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Keyword(s):
2013 ◽
Vol 286
(8-9)
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pp. 908-920
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Keyword(s):
1986 ◽
Vol 96
(4)
◽
pp. 636-636
1986 ◽
Vol 96
(4)
◽
pp. 636
◽
1993 ◽
Vol 42
(1)
◽
pp. 155-160
Keyword(s):