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A Characterization of White Noise Test Functionals

Published online by Cambridge University Press:  22 January 2016

H.-H. Kuo ,
J. Potthoff  and
L. Streit
H.-H. Kuo
Affiliation:
Department of Mathematics, Louisiana State University, Batan Rouge, LA 70803, U.S.A.
J. Potthoff
Affiliation:
Department of Mathematics, Louisiana State University, Batan Rouge, LA 70803, U.S.A.
L. Streit
Affiliation:
BiBoS, Universitat Bielefeld, Bielefeld, Germany Area de Matemätica, Universidade do Minho, Braga, Portugal
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In a recent paper [PS 89], two of the present authors have found a characterization of a certain space (ℐ)* of generalized functionals of white noise, i.e. generalized functionals on ℐ′(R) equipped with the σ-algebra ℬ generated by its cyclinder sets and with the white noise measure μ given by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 121 , March 1991 , pp. 185 - 194
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

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