scholarly journals Carleman approximation of maps into Oka manifolds

2019 ◽  
Vol 147 (11) ◽  
pp. 4847-4861 ◽  
Author(s):  
Brett Chenoweth
Keyword(s):  
Carleman Approximation

Carleman Approximation by Entire Functions on the Union of Two Totally Real Subspaces of Cn

1994 ◽  
Vol 37 (4) ◽  
pp. 522-526
Author(s):  
Per E. Manne
Keyword(s):  
Entire Functions ◽  
Continuous Functions ◽  
Real Dimension ◽  
Carleman Approximation ◽  
Polynomially Convex ◽  
Cauchy Riemann ◽  
Totally Real

AbstractLet L1, L2 ⊂ Cn be two totally real subspaces of real dimension n, and such that L1 ∩ L2 = {0}. We show that continuous functions on L1 ∪L2 allow Carleman approximation by entire functions if and only if L1 ∪L2 is polynomially convex. If the latter condition is satisfied, then a function f:L1 ∪L2 —> C such that f|LiCk(Li), i = 1,2, allows Carleman approximation of order k by entire functions if and only if f satisfies the Cauchy-Riemann equations up to order k at the origin.

Carleman Approximation by Harmonic Functions

1995 ◽  
Vol 117 (1) ◽  
pp. 245 ◽  
Author(s):  
Stephen J. Gardiner ◽  
Myron Goldstein
Keyword(s):  
Harmonic Functions ◽  
Carleman Approximation ◽  
Approximation By Harmonic Functions

Carleman approximation on Riemann surfaces

1986 ◽  
Vol 275 (1) ◽  
pp. 57-70 ◽  
Author(s):  
Andr� Boivin
Keyword(s):  
Riemann Surfaces ◽  
Carleman Approximation
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