Measures of finite energy on a commutative hypergroup

  • Herbert Heyer
  • Yan Wang
Lezioni e Rapporti


Some aspects of potential theory of invariant Dirichlet forms on a commutative hypergroupK are enlarged and extended. In particular measures of finite energy are characterized, and they are related to the problem of finding sufficient conditions for a continuous convolution semigroup onK to be transient.


Dirichlet Form Unique Measure Finite Energy Convolution Semigroup Resolvent Family 
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Si estendono alcuni aspetti della teoria del potenziale delle forme di Dirichlet invarianti su un ipergruppo commutativoK. In particolare si caratterizzano le misure di energia finita.

Tali misure vengono inoltre correlate al problema di determinare condizioni sufficienti affinchè un semigruppo continuo di convoluzione suK sia transiente.


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Copyright information

© Birkhäuser-Verlag 1989

Authors and Affiliations

  • Herbert Heyer
    • 1
  • Yan Wang
    • 1
  1. 1.TübingenGermany

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