TY - CHAP

T1 - On random Fourier-stieltjes transforms

AU - Cohen, Guy

PY - 2007

Y1 - 2007

N2 - Let (Q, F, P) be a probability space, and let {uk}£ 1 be a se-quence of centered independent
finite complex valued transition measures on Q x 8 (R"), ie,(i) for every we Q,{u:(w,)} is a
sequence of finite complex valued measures on 8 (R");(ii) for every n# m and for every two
Borel measurable simple functions p and b on R", the random vari-ables Jia p (u) un (w, du)
and JRa b (u) um (w, du) are independent, and for every k> 1, Jad p (u) uk (w, du) is
centered. Put Ve (w)=| uk (w, R") for the total variation norm and assume that {Ve} C Loo (P)

AB - Let (Q, F, P) be a probability space, and let {uk}£ 1 be a se-quence of centered independent
finite complex valued transition measures on Q x 8 (R"), ie,(i) for every we Q,{u:(w,)} is a
sequence of finite complex valued measures on 8 (R");(ii) for every n# m and for every two
Borel measurable simple functions p and b on R", the random vari-ables Jia p (u) un (w, du)
and JRa b (u) um (w, du) are independent, and for every k> 1, Jad p (u) uk (w, du) is
centered. Put Ve (w)=| uk (w, R") for the total variation norm and assume that {Ve} C Loo (P)

KW - Fourier-Stieltjes transforms

KW - transition measures

KW - random measures

KW - independent random variables

KW - random Fourier series

KW - random power series of contractions

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SN - 978-0-8218-3869-3

VL - 430

T3 - Contemporary Mathematics

SP - 73

EP - 88

BT - ERGODIC THEORY AND RELATED FIELDS

ER -