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On Pseudo-Analytic Functions

Published online by Cambridge University Press:  22 January 2016

D. A. Storvick
D. A. Storvick*
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, Minnesota
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Many of the properties of analytic functions can be proved in a purely topological manner, so that such properties are then valid for the larger class of functions which are topologically equivalent to analytic functions. The importance of such functions has been recognized fairly recently, particularly in the theory of partial differential equations, where certain solutions have been shown to possess the topological properties of analytic functions, i.e., interiority and continuity, but not necessarily the analytic properties of complex differentiability and integrability.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 12 , December 1957 , pp. 131 - 138
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1957

References

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