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On some spaces of
entire functions defined on infinite-dimensional spaces
J.-F. Colombeau and Mário Carvalho Matos |
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Vol. 96 (1981), No. 1, 63–75
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Abstract |
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Let E be a quasi-complete dual nuclear complex locally convex space; we prove that both spaces ℋNb(E) and ℋSNb(E) of entire functions of nuclear type on E introduced by Matos and Matos-Nachbin coincide with the space ℋS(E) of the Silva holomorphic functions. As a consequence, well known results of Boland on convolution equations in ℋ(E) can be obtained as particular cases of results in Matos’s Doctoral Dissertation. |
Mathematical Subject Classification 2000
Primary: 46G20
Secondary: 32A15
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Milestones
Received: 14 May 1980
Revised: 16 October 1980
Published: 1 September 1981
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Authors |
| J.-F. Colombeau | |
| Mário Carvalho Matos | |
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