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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Recapturing $ H\sp{2}$-functions on a polydisc


Author: D. J. Patil
Journal: Trans. Amer. Math. Soc. 188 (1974), 97-103
MSC: Primary 32A10; Secondary 30A78
DOI: https://doi.org/10.1090/S0002-9947-1974-0379878-5
MathSciNet review: 0379878
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Abstract: Let $ {U^2}$ be the unit polydisc and $ {T^2}$ its distinguished boundary. If $ E \subset {T^2}$ is a set of positive measure and the restriction to E of a function f in $ {H^2}({U^2})$ is given then an algorithm to recapture f is developed.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0379878-5
Article copyright: © Copyright 1974 American Mathematical Society