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An example on canonical isomorphism

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa, Nagoya 466, Japan
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A nonnegative locally Hölder continuous second order differential P = P(z)dxdy (z = x + iy) on a Riemann surface R is referred to as a density on R. A density P is said to be finite if P is integrable over R, i.e.

(1) ∫ R P(z)dxdy < ∞.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 25 - 40
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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