Recapturing $H^{2}$-functions on a polydisc
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- by D. J. Patil PDF
- Trans. Amer. Math. Soc. 188 (1974), 97-103 Request permission
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.References
- D. J. Patil, Representation of $H^{p}$-functions, Bull. Amer. Math. Soc. 78 (1972), 617–620. MR 298017, DOI 10.1090/S0002-9904-1972-13031-3
- Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841
- Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190 L. C. Young, Some new stochastic integrals and Stieltjes integrals. II, Advances in Probability and Related Topics (to appear).
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Additional Information
- © Copyright 1974 American Mathematical Society
- 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