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Geometry of Homogeneous Bounded Domains pp 125–197Cite as

Holomorphic and Harmonic Functions on Bounded Symmetric Domains

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Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 45))

Abstract

The main purpose of these lectures is to study questions of elementary analysis on bounded symmetric domains, namely the realization of these domains as generalizations of the unit disc and the upper halfplane, the study of the structure of their boundary and the boundary behaviour of holomorphic functions. This is done in sections 3 to 6 which contain material otherwise available only in journals (mainly [14], [16], [24]). Some slight simplifications and improvements have been made here; it will, by the way, be apparent that the subject still has plenty of open problems.

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Authors and Affiliations

  1. Yeshiva University, New York, USA

    A. Koranyi

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  1. A. Koranyi
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E. Vesentini (Coordinatore)

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Koranyi, A. (2011). Holomorphic and Harmonic Functions on Bounded Symmetric Domains. In: Vesentini, E. (eds) Geometry of Homogeneous Bounded Domains. C.I.M.E. Summer Schools, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11060-3_4

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