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Titlebook: Geometric Function Theory; Explorations in Comp Steven G. Krantz Textbook 2006 Birkhäuser Boston 2006 Complex analysis.Green‘s function.Poi

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Cousin Problems, Cohomology, and Sheavestic continuation, division problems, approximation theorems (Runge, Mergelyan), and the Cauchy—Riemann equations are just some of the devices that we have for taking a local construction and making it global.
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Boundary Regularity of Conformal Mapself) back to the unit disk, or vice versa. But many of the more delicate questions require something more. If we wish to study behavior of functions at the boundary, or growth or regularity conditions, then we must know something about the boundary behavior of the conformal mapping.
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Wolff’s Proof of the Corona Theorem beginning—the relevant compact Hausdorff space is the circle T. Classically, an important function algebra has been .—the functions continuous on .and holomorphic on .. [We call . the . Each such function can be identified with its restriction to the circle. And any such restriction has Fourier ser
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