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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An extreme absolutely continuous $ {\rm RP}$-measure


Author: John N. McDonald
Journal: Proc. Amer. Math. Soc. 109 (1990), 731-738
MSC: Primary 32A10; Secondary 30D10, 32A25
MathSciNet review: 1017849
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Abstract | References | Similar Articles | Additional Information

Abstract: We construct a measure on the torus $ {T^2}$ which is an extreme element of the set of RP-probability measures and is absolutely continuous with respect to Haar measure on $ {T^2}$.


References [Enhancements On Off] (What's this?)

  • [1] F. Forelli, A necessary condition on the extreme points of a class of holomorphic functions, Pacific J. Math. 92 (1981), 277-281. MR 618065 (82k:32021)
  • [2] K. Hoffman, Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, NJ, 1962. MR 0133008 (24:A2844)
  • [3] J. N. Mc Donald, Measures on the torus which are real parts of holomorphic functions, Michigan Math. J. 29 (1982), 259-265. MR 674279 (84k:32003)
  • [4] -, Examples of RP-measures, Rocky Mountain J. Math. 16 (1986), 191-201. MR 829208 (88a:30105)
  • [5] -, Holomorphic functions on the polydisc having positive real part, Michigan Math. J. 34 (1987), 77-84. MR 873021 (88b:32004)
  • [6] W. Rudin, Harmonic analysis in polydiscs, Actes du Congrès Int. des Mathématiciens (Nice, 1970), Tome 2, Gauthier-Villars, Paris, 1971, pp. 489-493. MR 0422657 (54:10643)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1017849-0
PII: S 0002-9939(1990)1017849-0
Article copyright: © Copyright 1990 American Mathematical Society