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Sets of sampling and interpolation in Bergman spaces |
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| Authors: | Alexander P. Schuster |
| Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109 |
| Abstract: | Properties of the unions of sampling and interpolation sets for Bergman spaces are discussed in conjunction with the examples given by Seip (1993). Their relationship to the classical interpolation sequences is explored. In addition, the role played by canonical divisors in the study of these sets is examined and an example of a sampling set is constructed in the disk. |
| Keywords: | Bergman space sampling interpolation zero set canonical divisor |
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