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A Wiener test for integrals of Brownian motion and the existence of smooth curves in nowhere dense sets

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Publication:1138303
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DOI10.1016/0022-1236(80)90107-XzbMath0431.60075MaRDI QIDQ1138303

Bernt Øksendal

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)


zbMATH Keywords

capacityMarkov processWiener testintegrated Brownian motion1- dimensional Hausdorff content


Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Brownian motion (60J65) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Approximation in the complex plane (30E10) Probabilistic potential theory (60J45) Capacity and harmonic measure in the complex plane (30C85)




Cites Work

  • Potentiel fin et algèbres de fonctions analytiques. I
  • Bounded point derivations on certain Banach algebras
  • Real annihilating measures for \(R(K)\)
  • Multiplicative functionals of dual processes
  • Analytic capacity and measure
  • Distinguished Homomorphisms and Fiber Algebras
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