On extending real functions to finite dimensional algebras |
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| Authors: | Bingren Li Yimin Yang |
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| Affiliation: | (1) Institute of Mathematics, Academia Sinica, 100080 Beijing, P. R. China;(2) Division of Science & Mathematics, University of Minnesota, 56276 Mcrros, MN, USA |
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| Abstract: | ![]()
In a finite dimensional real algebra, we define functional calculus for real functions. The analytic hypothesis is replaced by a differentiable hypothesis. High order differentibility is essentially necessary and sufficient to our discussions. Moreover, we give some examples. Partially supported by NSF of China The authors gratefully acknowledge the support of K. C. Wong Education Foundation, Hong Kong |
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| Keywords: | m-Extension Continuous derivative Characteristic polynomial |
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