Paul Levy's Continuity Theorem : Some History and Recent Progress

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概要

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• In the present paper, we choose a sufficiently general setting for the most prominent Levy continuity properties and intend to present a large portion of the existing knowledge organized along the two leading approaches settling the problem for nuclear groups (including nuclear locally convex spaces) and for locally compact hypergroups (including locally compact groups) respectively. While the first approach (Boulicaut - Banaszczyk) depends on the commutativity of the underlying structure and therefore follows the lines of classical harmonic analysis, the second one (Teleman - Edwards) is geometric in nature; it employs topological convexity theory.

• 奈良教育大学の論文
• 2005-10-31

著者

• HEYER Herbert

  Tubingen University

• KAWAKAMI Satoshi

  奈良教育大学

関連論文

• Finite Commutative Hypergroups Associated with Actions of Finite Abelian Groups
• Paul Levy's Continuity Theorem : Some History and Recent Progress

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