Nagoya Mathematical Journal

A characterization of white noise test functionals

H.-H. Kuo, J. Potthoff, and L. Streit

Full-text: Open access

Article information

Source
Nagoya Math. J., Volume 121 (1991), 185-194.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118782788

Mathematical Reviews number (MathSciNet)
MR1096474

Zentralblatt MATH identifier
0717.60051

Subjects
Primary: 60H99: None of the above, but in this section
Secondary: 60G20: Generalized stochastic processes

Citation

Kuo, H.-H.; Potthoff, J.; Streit, L. A characterization of white noise test functionals. Nagoya Math. J. 121 (1991), 185--194. https://projecteuclid.org/euclid.nmj/1118782788


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References

  • [Bo54] Boas, R. P., Entire Functions, New York, Academic Press (1954).
  • [HKPS] Hida, T., Kuo, H.-H., Potthoff, J. and Streit, L., White Noise An Infinite Dimensional Calculus, Monograph in preparation.
  • [HPS88] Hida, T., Potthoff, J. and Streit, L., Dirichlet forms and white noise analysis, Commun. Math. Phys., 116 (1988), 235-245.
  • [KT80] Kubo, I. and Takenaka, S., Calculus on Gaussian white noise I, Proc. Japan Acad., 56A (1980), 376-380.
  • [PR89] Potthoff, J. and Roekner, M, On the contraction property of energy forms in infinite dimensions, BiBoS Preprint (1989), to appear in J. Funct. Anal.
  • [PS89] Potthoff, J. and Streit, L., A characterization of Hida distributions, BiBoS Preprint, no. 406 (1989).
  • [Si71] Simon, B., Distributions and their Hermite expansions J. Math. Physics, 12 (1971), 140-148. H.-H. Kuo Department of Mathematics Louisiana State University Baton Rouge, LA 70803 U.S.A. BiBoS Universitdt Bielefeld Bielefeld Germany and Area de Matemtioa Universidade do Minho Braga Portugal