Matrix Riesz Products

2010 ◽  
pp. 209-224
Author(s):  
Martine Queffélec
Keyword(s):  
Riesz Products

A Family of Generalized Riesz Products

1996 ◽  
Vol 48 (2) ◽  
pp. 302-315 ◽  
Author(s):  
A. H. Dooley ◽  
S. J. Eigen
Keyword(s):  
Lebesgue Measure ◽  
Spectral Measure ◽  
Probability Space ◽  
Rank One ◽  
Almost All ◽  
Riesz Products

AbstractGeneralized Riesz products similar to the type which arise as the spectral measure for a rank-one transformation are studied. A condition for the mutual singularity of two such measures is given. As an application, a probability space of transformations is presented in which almost all transformations are singular with respect to Lebesgue measure.

scholarly journals Bounds on Moments of Weighted Sums of Finite Riesz Products

2020 ◽  
Vol 26 (6) ◽  
Author(s):  
Aline Bonami ◽  
Rafał Latała ◽  
Piotr Nayar ◽  
Tomasz Tkocz
Keyword(s):  
Weighted Sums ◽  
Riesz Products

Riesz products

2015 ◽  
pp. 163-173
Author(s):  
Pertti Mattila
Keyword(s):  
Riesz Products

Riesz Products and Normal Numbers

1985 ◽  
Vol s2-32 (1) ◽  
pp. 12-18 ◽  
Author(s):  
Gavin Brown ◽  
William Moran ◽  
Charles E. M. Pearce
Keyword(s):  
Normal Numbers ◽  
Riesz Products

Singular Measures and Riesz Products

1982 ◽  
Vol s2-25 (1) ◽  
pp. 115-121 ◽  
Author(s):  
Luciano Modica ◽  
Stefano Mortola
Keyword(s):  
Singular Measures ◽  
Riesz Products

On orthogonality of Riesz products

1974 ◽  
Vol 76 (1) ◽  
pp. 173-181 ◽  
Author(s):  
Gavin Brown ◽  
William Moran
Keyword(s):  
Haar Measure ◽  
Classical Result ◽  
Weak Limit ◽  
Absolutely Continuous ◽  
Riesz Product ◽  
Image Position ◽  
Riesz Products ◽  
Positive Integers

A typical Riesz product on the circle is the weak* limitwhere – 1 ≤ rk ≤ 1, øk ∈ R, λT is Haar measure, and the positive integers nk satisfy nk+1/nk ≥ 3. A classical result of Zygmund (11) implies that either µ is absolutely continuous with respect to λT (when ) or µ is purely singular (when ).

On the Hausdorff dimension of rademacher Riesz products

1990 ◽  
Vol 110 (1) ◽  
pp. 15-21 ◽  
Author(s):  
A. Bisbas ◽  
C. Karanikas
Keyword(s):  
Hausdorff Dimension ◽  
Riesz Products
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