CONTENTS1. Introduction.......................................................................................................52. Basic definitions, notations and facts................................................................63. Definitions of the Genchev transform................................................................84. Basic properties of the Genchev transform......................................................115. Some properties of the weight ..............................................................166. The Bergman function of a tube domain..........................................................227. The Bergman space on a convex tube.............................................................268. On L²-holomorphic continuation of a function from the Bergman space...........319. L²-angles between multidimensional tubes.......................................................3910. Calculations of some L²-angles between tube domains..................................58References...........................................................................................................63
1991 Mathematics Subject Classification: 32H10, 42B10, 32A07, 46E22.
@book{bwmeta1.element.zamlynska-387c28a6-bb98-4ead-af56-5236e0c031d1, author = {Hyb Wojciech}, title = {Bergman function, Genchev transform and L$^2$-angles, for multidimensional tubes}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1996}, zbl = {0884.46020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-387c28a6-bb98-4ead-af56-5236e0c031d1} }
Hyb Wojciech. Bergman function, Genchev transform and L²-angles, for multidimensional tubes. GDML_Books (1996), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-387c28a6-bb98-4ead-af56-5236e0c031d1/