Wiener Tauberian theorems for vector-valued functions
1994 ◽
Vol 17
(3)
◽
pp. 475-478
◽
Keyword(s):
Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebraL1(G,A)(of integrable functions on a locally compact abelian groupGtaking values in a commutative semisimple regular Banach algebraA) usingA-valued Fourier transforms. A weak form of Wiener's Tauberian property is introduced and it is proved thatL1(G,A)is weakly Tauberian if and only ifAis. The vector analogue of Wiener'sL2-span of translates theorem is examined.
1984 ◽
Vol 99
(1-2)
◽
pp. 137-143
1978 ◽
Vol 18
(1)
◽
pp. 1-11
◽
1973 ◽
Vol 9
(1)
◽
pp. 73-82
◽
1972 ◽
Vol 71
(1)
◽
pp. 63-66
◽
1982 ◽
Vol 5
(3)
◽
pp. 503-512
1994 ◽
Vol 14
(2)
◽
pp. 130-138
◽
Keyword(s):
2007 ◽
Vol 75
(2)
◽
pp. 369-390
◽
Keyword(s):
2008 ◽
Vol 340
(1)
◽
pp. 219-225
◽
1984 ◽
pp. 261-269
◽