PLEASE ANSWER EVERYTHING THROUGHLY PLEASE ANSWER ALL OF A B

PLEASE ANSWER EVERYTHING THROUGHLY PLEASE ANSWER ALL OF A) B) AND C) VERY VERY THROUGHOLY, PLEASE DONT SKIP ANY

Schwave Lemma Schwdvas Lemme is quite important in the function theor on D. We Coh consider the following interpolation problem: support we fix points , .... 2, dud \"w, nown all \"of which is in D, we ask the question when there is an avidly he funch on f: In D that interpolates these points, in the sense not FC2) =wi, O) In the Simpliest cae when we try to interpolate one set of points 2,\' and w, . \"Prove there actually exists Sholomorphic map fD P wheve f(t Let us now focus on the case when n=2. We would like to know when thve exists on dhlyhic lunchon f DD that sends 2, , , to W, W2, Of course, we normally do not hope for f bein to bi holomorphic. bProve that such f exists it ) if then satisfies CHiat! try to move - W, W, |-Znz, I tr, W2 top first) both O) (onversely, SunPost 2i,W: i 1, 2 Satisfies th (Onc ihoS TER THEA In Part b . Briefly explain how you can achold final Such interpola fesiw,

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