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On C0-Sufficiency of Complex Jets

Published online by Cambridge University Press:  20 November 2018

S. H. Chang  and
Y. C. Lu
S. H. Chang
Affiliation:
Pennsylvania State University, University Park, Pennsylvania
Y. C. Lu
Affiliation:
Ohio State University, Columbus, Ohio
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In this paper we shall study the sufficiency of complex jets. Let A (Cn, C) be the set of all analytic functions f : Cn → C with f (0) = 0. We call two functions f and g of A (Cn, C) equivalent of order r at 0 if, at 0, their Taylor expansions up to and including the terms of degree ≦ r are identical.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 874 - 880
Copyright
Copyright © Canadian Mathematical Society 1973

References

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