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Non-Linear A-Proper Mappings of the Analytic Type

Published online by Cambridge University Press:  20 November 2018

A. J. B. Potter
A. J. B. Potter*
Affiliation:
University of Aberdeen, Aberdeen, Scotland
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Let Y be a complex Banach space, U an open subset of Y, f a mapping of U into Y. Then f is said to be complex analytic if for each pair of elements x and y of Y with x in U, the function f(x + ξy) of the single complex variable ξ is analytic in ξ on some neighbourhood of the origin.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 3 , June 1973 , pp. 468 - 474
Copyright
Copyright © Canadian Mathematical Society 1973

References

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