On some Fourier aspects of the construction of certain Wiener integrals

T. Funaki, Y. Hariya, F. Hirsch, M. Yor

研究成果: Article

1 引用 (Scopus)

抜粋

The existence and best L2-bounds for the Wiener type integrals ∫01 f (s) d Xs, where X ranges through a wide class of Bessel-like centered processes, and f belongs to L2 ([0, 1]), are discussed in terms of Fourier transforms associated with some characteristics of X, thus providing some unification of previous results on this topic obtained by the authors [T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered powers of Bessel processes, I, Markov Processes and their Related Fields (2006) (in press), T. Funaki, Y. Hariya, F. Hirsch, M. Yor, On the construction of Wiener integrals with respect to certain pseudo-Bessel processes, Stochastic Processes and their Applications (2006) (in press)] as well as yielding new results.

元の言語English
ページ(範囲)1-22
ページ数22
ジャーナルStochastic Processes and their Applications
117
発行部数1
DOI
出版物ステータスPublished - 2007 1 1
外部発表Yes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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