Download PDF - Stone-Weierstrass theorem
ArticleOriginal scientific text
Title
Stone-Weierstrass theorem
Authors 1, 1
Affiliations
- Université de Caen, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France
Abstract
It will be shown that the Stone-Weierstrass theorem for Clifford-valued functions is true for the case of even dimension. It remains valid for the odd dimension if we add a stability condition by principal automorphism.
Bibliography
- R. Delanghe, F. Sommen, V. Souček, Clifford Algebra and Spinor-valued functions, Kluwer.
- J. Dugundji, Topology, Allyn and Bacon.
- W. Feller, An introduction to the theory of Probability and its applications, J. Wiley.
- D. Hestenes, G. Sobczyk, Clifford Algebra to Geometric Calculus, Reidel.