%0 Journal Article
%T A majorant problem
%A Ronen Peretz
%J International Journal of Mathematics and Mathematical Sciences
%D 1992
%I Hindawi Publishing Corporation
%R 10.1155/s0161171292000590
%X Let f(z)= ¡é   ¡®k=0 ¡é    akzk, a0 ¡é ¡ë  0 be analytic in the unit disc. Any infinite complex vector     =(    0,    1,    2, ¡é ? |) such that |    k|=1, k=0,1,2, ¡é ? |, induces a function f    (z)= ¡é   ¡®k=0 ¡é    ak    kzk which is still analytic in the unit disc.
%K Fourier coefficients
%K analytic continuation
%K Schlicht functions
%K functions of positive real part.
%U http://dx.doi.org/10.1155/S0161171292000590