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- Title
Quaternionic hyperfunctions on five-dimensional varieties in ℍ2.
- Authors
Colombo, Fabrizio; Damiano, Alberto; Sabadini, Irene; Struppa, Daniele
- Abstract
In this article we introduce a new notion of differential forms to describe the cohomology associated to the sheaf of regular functions in several quaternionic variables. We then use these differential forms to introduce and describe concretely a sheaf of quaternionic hyperfunctions as boundary values of regular functions in two quaternionic variables. We show how these ideas can be generalized to the case of monogenic functions in two vector variables with values in a Clifford algebra.
- Publication
Journal of Geometric Analysis, 2007, Vol 17, Issue 3, p435
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/BF02922091