Question
1 2 3 P L K LLL Let an be a bounded sequence of complex numbers. Show that for each > 0, the series
1 2 3 P L K LLL Let an be a bounded sequence of complex numbers. Show that for each > 0, the series ann converges uniformly for Rez >1+. Here we choose the principal branch of n. Solution ann an C, Rez > 1+. Apply Weierstrass M-test, |ann | < n=1 Cn-Rez " = nIte Mn, Mn < Rez 1+E. an converges uniformly for
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Fractal Functions, Fractal Surfaces, And Wavelets
Authors: Peter R Massopust
2nd Edition
0128044705, 9780128044704
