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Stable-bounded subsets of \(L^{\alpha}\), and sample unboundedness of symmetric stable processes

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Publication:801592
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DOI10.1016/0022-1236(85)90053-9zbMath0552.60012OpenAlexW1991062516MaRDI QIDQ801592

Terry R. McConnell

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90053-9


zbMATH Keywords

stable processLévy symmetric process


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Sample path properties (60G17)




Cites Work

  • Unnamed Item
  • Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
  • On Itô stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals
  • Some path properties of pth order and symmetric stable processes
  • The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
  • Zero-One Laws for Stable Measures
  • A self-similar process with nowhere bounded sample paths
  • Some Structure Theorems for the Symmetric Stable Laws
  • A representation theorem for symmetric stable processes and stable measures on H
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