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Journal of Convex Analysis 14 (2007), No. 4, 693--704
Copyright Heldermann Verlag 2007

A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function

Piotr Kot
Instytut Matematyki, Politechnika Krakowska, ul. Warszawska 24, 31-155 Kraków, Poland

We give a new construction of holomorphic function with given almost all boundary values on a bounded strictly pseudoconvex domain Ω with the boundary of class C2. Next we use this construction to solve the Radon inversion problem and describe exceptional sets for square integrals of holomorphic functions along complex directions.

Keywords: Inner function, Radon inversion problem.

MSC: 32A05, 32A35

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