An Extreme Absolutely Continuous RP-Measure

DOI10.2307/2048213zbMath0722.32004OpenAlexW4239829231MaRDI QIDQ3209406

John N. McDonald

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048213

zbMATH Keywords

Haar measureprobability measuresunit diskpolydiskbounded holomorphic functionsextreme element

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Probabilistic measure theory (60A10) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Other generalizations of function theory of one complex variable (32A30) Holomorphic functions of several complex variables (32A10)

Related Items (4)

On the parametric representation of univalent functions on the polydisc ⋮ Geometric properties of measures related to holomorphic functions having positive imaginary or real part ⋮ Clark measures for rational inner functions ⋮ Characterizations of the lebesgue measure and product measures related to holomorphic functions having non-negative imaginary or real part

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