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On the Existence of Various Bounded Harmonic Functions with given Periods

Published online by Cambridge University Press:  22 January 2016

Masaru Hara
Masaru Hara*
Affiliation:
Applied physics, Faculty of Engineering, Nagoya University
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Consider a pair (R, Γ) of a Riemann surface R and a period Γ. By a period Γ we mean a real-valued function Γ(γ) on one-dimensional cycles {γ} of the Riemann surface R.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 49 , March 1973 , pp. 143 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

[1] Sario, L. and Nakai, M.: Classification Theory of Riemann Surfaces. Springer (1970).Google Scholar
[2] Tsuji, M.: Potential Theory in modern Function Theory. Maruzen (1959).Google Scholar
[3] Widom, H.: The maximum principle for multivalued analytic functions. Acta Math. 128 (1971), 63–82.Google Scholar
[4] Widom, H.: sections of vector bundles over Riemann surfaces. Ann. of Math. 94 (1971), 304–324.Google Scholar