ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let M be a C∞-smooth submanifold of a domain G⊂Cn. Denote by 0(M) the algebra of germs of holomorphic functions on M, that is, each f∈0(M) is holomorphic in some neighbourhood of M, the neighbourhood dependent of f. Now define A(M) as the closure of 0(M) with respect to the topology of compact convergence on M. If M coincides with σA(M), the spectrum of A(M), we give a necessary and sufficient condition for A(M) such that M is a complex manifold.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01158048
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