Hedenmalm, Haakan ; Korenblum, Boris ; Zhu, Kehe. creator Haakan Hedenmalm. text New York Springer-Verlag ,©1985 monographic eng

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ix, 286 pages : illustrations ; 25 cm Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field. 1. The Bergman Spaces 2. The Berezin Transform 3. A[superscript p]-Inner Functions 4. Zero Sets 5. Interpolation and Sampling 6. Invariant Subspaces 7. Cyclicity 8. Invertible Noncyclic Functions 9. Logarithmically Subharmonic Weights / Haakan Hedenmalm. Analyse fonctionnelle Bergman kernel functions Noyau de Bergman Kehe Zhu 515 HED 9781461267898 Zafaa Books & Distributors : 313/56F,49A, Anand Nagar, Inderlok, Delhi- 110035 220929 20220930121158.0