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Holomorphic extension of continuous, weakly holomorphic functions on certain analytic varieties

Published online by Cambridge University Press:  22 January 2016

Nozomu Mochizuki
Nozomu Mochizuki*
Affiliation:
College of General Education, Tôhoku University
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Let M, N be connected complex submanifolds of a neighborhood of the origin 0 ∈ Cd, the space of d complex variables, such that 0 ∈ M ∩ N. We shall suppose throughout that M ⊄ N and N ⊄ M in any neighborhood of 0. Let X = M ∪ N. X is an analytic subvariety with the irreducible branches M and N. Let Δ be a neighborhood of 0 in Cd.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 52 , December 1973 , pp. 53 - 59
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

[1] Mochizuki, N., Quasi-normal analytic spaces, Proc. Japan Acad., 48 (1972), 181–185.Google Scholar
[2] Mochizuki, N., Quasi-normal analytic spaces. II, Ködai Math. Sem. Rep., 25 (1973), 362–366.Google Scholar