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7

Part of 1976 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1976_7

Source: linearly independent of regular functions on a domain of the complex plane

12/30/2008
Let f1,f2,…,fn f_1,f_2,\dots,f_n be regular functions on a domain of the complex plane, linearly independent over the complex field. Prove that the functions fif‾k,  1≤i,k≤n f_i\overline{f}_k, \;1 \leq i,k \leq n, are also linearly independent. L. Lempert
functionalgebradomaincomplex analysisvectorlinear algebramatrix