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Details for article 7 of 8 found articles
| Title: |
Topologies on quaternionic hyperfunctions and duality theorems |
| Author: |
Sabadini, Irene Struppa, Daniele C. |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 30 (1996) nr. 1 pages 19-34 |
| Year: |
1996-05 |
| Contents: |
The purpose of this paper is to establish a topological isomorphism between the space FK of H-hyperfunctions supported by a compact K and the space (G(K))' of left H-linear functionals on G(K) space of germs of regular functions. The space FK is also topologically isomorphic to the space R∞1(HP1\K) of left regular functions vanishing at infinity. We also introduce two different families of infinite order differential operators: one of them is useful to characterize the convergence in G(K) while we need the other one to write an H-hyperfunction with support at the origin as infinite sum of erivatives of Dirac's delta. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 7 of 8 found articles
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