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Titlebook: Introduction to Complex Analysis in Several Variables; Volker Scheidemann Book 20051st edition Birkhäuser Basel 2005 Biholomorphic maps.Ca

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t a monochromatic electromagnetic wave changes its state of polarization if it strikes non-perpendicularly the interface between two dielectric media. In general, any arbitrary monochromatic transversal wave can be considered composed of two orthogonal coherent waves with a fixed phase relation, e.g
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ickness the surface to volume ratio increases tremendously and interfacial interactions are expected to dominate the molecular dynamics of geometrically confined polymers. On the one hand, attractive interfacial interactions can inhibit cooperative dynamics and lead to a rise in ... On the other han
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Continuation on circular and polycircular domains, strictly larger domain (see, e.g., [4], Satz VIII, 5.2. We will prove this result in a general setting in Chapter 7.). For example, the function . defined by . is holomorphic on the unit disc .{sk1/1} (0) and is unbounded near every boundary point of .{sk1/1} (0). Thus, it cannot be expanded to any
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Continuation on Tubular Domains,ubular domain .. In particular, ℂ. = ℝ. + .ℝ. is a tubular domain with basis ℝ.. The aim of this chapter is to give a proof of a continuation theorem due to Bochner, which states that every function holomorphic on a tubular domain . can be holomorphically extended to the convex hull of .. Bochner’s
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Cartan-Thullen Theory, can be holomorphically extended to a strictly larger domain. Those domains were not domains of holomorphy in the intuitive understanding that a domain of holomorphy should be the maximal domain of existence of some holomorphic function. In this chapter we will work on the task to characterize those
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