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dc.contributor.authorMontgomery-Smith, Stephen, 1963-eng
dc.contributor.authorAsmar, Nakhlé H.eng
dc.descriptionThe final version of this paper appears in: "Bulletin of the Australian Mathematical Society" 55 (1997): 185-195. Print.eng
dc.description.abstractHardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus TN, where analyticity is defined using a lexicographic order on the dual group ZN. We show how, by using basic properties of orders on ZN, we can apply Garling's method in the study of analytic functions on an arbitrary compact abelian group with an arbitrary order on its dual group. We illustrate our approach by giving a new and simple proof of a famous generalized Jensen's Inequality due to Helson and Lowdenslager.eng
dc.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematicseng
dc.subjectHaar measureeng
dc.subjectFourier transformeng
dc.titleHardy martingales and Jensen's inequalityeng

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