Geodesic
A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function
Journal of convex analysis, Tome 14 (2007) no. 4, pp. 693-704

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 32A05, 32A35
Mots-clés : Inner function, Radon inversion problem 
@article{JCA_2007_14_4_JCA_2007_14_4_a1,
     author = {P. Kot},
     title = {A {Holomorphic} {Function} with {Given} {Almost} {All} {Boundary} {Values} on a {Domain} with {Holomorphic} {Support} {Function}},
     journal = {Journal of convex analysis},
     pages = {693--704},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a1/}
}
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P. Kot. A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function. Journal of convex analysis, Tome 14 (2007) no. 4, pp. 693-704. http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a1/