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Volumn 130, Issue 1, 2004, Pages 39-55

A series expansion of fractional Brownian motion

Author keywords

Bessel function; Fractional Brownian motion; Fractional calculus; Hankel transform; Series expansion

Indexed keywords


EID: 4544283946     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0310-2     Document Type: Article
Times cited : (122)

References (18)
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    • 0742306489 scopus 로고    scopus 로고
    • Approximating fractional Brownian motion by a random wavelet series: The rate optimality problem
    • To appear
    • Ayache, A., Taqqu, M.S.: Approximating fractional Brownian motion by a random wavelet series: the rate optimality problem. J. Fourier Anal. Appl. To appear 2003
    • (2003) J. Fourier Anal. Appl.
    • Ayache, A.1    Taqqu, M.S.2
  • 7
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven im Hilbertsche Raum
    • n. Ser. 26
    • Kolmogorov, A.N.: Wienersche Spiralen und einige andere interessante Kurven im Hilbertsche Raum. C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 26, 115-118 (1940)
    • (1940) C. R. (Dokl.) Acad. Sci. URSS , pp. 115-118
    • Kolmogorov, A.N.1
  • 8
    • 0141643497 scopus 로고    scopus 로고
    • Optimal series representation of fractional Brownian sheets
    • Kühn, T., Linde, W.: Optimal series representation of fractional Brownian sheets. Bernoulli 8 (5), 669-696 (2002)
    • (2002) Bernoulli , vol.8 , Issue.5 , pp. 669-696
    • Kühn, T.1    Linde, W.2
  • 10
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B.B., Van Ness, J.W.: Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10, 422-437 (1968)
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 11
    • 0347598034 scopus 로고    scopus 로고
    • Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
    • Meyer, Y., Sellan, F., Taqqu, M.S.: Wavelets, generalized white noise and fractional integration: the synthesis of fractional Brownian motion. J. Fourier Anal. Appl. 5 (5), 465-494 (1999)
    • (1999) J. Fourier Anal. Appl. , vol.5 , Issue.5 , pp. 465-494
    • Meyer, Y.1    Sellan, F.2    Taqqu, M.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.