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Then a tuple of analytic functions H H1 H3 f 1 Re with ord0 f1 2 ord0 g0 3 is an element of F2 m. Q z z. Then we have Re g0 2 Re Q f1 z 2 Im Q f1 z L1 f1 Re g0 Let us write L2 f2 f3 Q f2 z The system 44 47 now reads L f1 f2 f3 Re g0 G u Dui f1 Duj Re g0 Dul f2 123 where the indices ranges are 0 i 2 0 j 3 and 0 l 1. Using the left hand side of equations 30 32 33 29 and 31 together with f0 0 let us set L1 1 f1 g0 Du Re g0 u Q Q z f 1 z u Q f1 z u z L2 2 f1 g0 2 u L3 3 f1 g0 6...
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