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Discrete function theory based on skew Weyl relations.
- Source :
-
Proceedings of the American Mathematical Society . May2010, Vol. 138 Issue 9, p3241-3256. 16p. - Publication Year :
- 2010
-
Abstract
- In this paper we construct the main ingredients of a discrete function theory in higher dimensions by means of a new ``skew'' type of Weyl relations. We will show that this new type overcomes the difficulties of working with standard Weyl relations in the discrete case. A Fischer decomposition, Euler operator, monogenic projection, and basic homogeneous powers will be constructed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 138
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 51333690
- Full Text :
- https://doi.org/10.1090/S0002-9939-2010-10480-X