Value Distribution of Lacunary Power Series and Lacunary Fourier Series: II. Analytic Continuation of a Class of Functions1971 - Analytic functions - 150 pages |
Common terms and phrases
ANALYTIC CONTINUATION applying assume boundary branch Chang Choose circle closed coefficients complex Consider continue g convergence CORNELI CORNELL define depending determined disk entire equations estimate exists expansion expressible fact finite follows formula fractional Fuchs functions given half-plane holomorphic identically implies increasing infinite instance integral interval introduce lacunary power series Laurent series Lemma LIBRARY LIBRARY LIBRARY lower bounds Math mean value theorem means meromorphic method neighborhood original path plane polynomial positive positive constant possible Proof prove range Re(w Re(z region representation represented restrictions result satisfying sector sequence similar simple poles singularities Step strip subsequence sufficiently large tending term theorem unit UNIVERSITY UNIVERSITY LIBRARY vanishes variables Vp(K Weiss write zero