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Construction of Principal Functions by Orthogonal Projection

Published online by Cambridge University Press:  20 November 2018

Mitsuru Nakai  and
Leo Sario
Mitsuru Nakai
Affiliation:
Nagoya University and University of California, Los Angeles
Leo Sario
Affiliation:
Nagoya University and University of California, Los Angeles
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Given a point set E on an open Riemann surface V we denote by H(E) the space of functions u harmonic in open sets O(u) containing E. Let V0 be a regular region of V with border α, and consider restrictions f to α of functions in H(α). For V1 = V — ⊽0, an operator L from H(α) to H(⊽1) is, by definition, normal if

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Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 887 - 896
Copyright
Copyright © Canadian Mathematical Society 1966

References

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