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Bergman function, Genchev transform and L²-angles, for multidimensional tubes

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Hyb W.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction.......................................................................................................5 2. Basic definitions, notations and facts................................................................6 3. Definitions of the Genchev transform................................................................8 4. Basic properties of the Genchev transform......................................................11 5. Some properties of the weight $w_B$..............................................................16 6. The Bergman function of a tube domain..........................................................22 7. The Bergman space on a convex tube.............................................................26 8. On L²-holomorphic continuation of a function from the Bergman space...........31 9. L²-angles between multidimensional tubes.......................................................39 10. Calculations of some L²-angles between tube domains..................................58 References...........................................................................................................63

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1 Hyb W.

1 1996

Wyniki wyszukiwania

Bergman function, Genchev transform and L²-angles, for multidimensional tubes