Multiscale Riesz Products and their Support Properties

[1]  B. Mandelbrot,et al.  Multiperiodic multifractal martingale measures , 2003 .

[2]  M. Kesseböhmer Large deviation for weak Gibbs measures and multifractal spectra , 2001 .

[3]  K. Lau,et al.  Asymptotic behavior of multiperiodic functions $$G(x) = \prod\limits_{n = 1}^\infty {g(x/2^n )} $$ , 1998 .

[4]  F. Hua Multifractal analysis of infinite products , 1997 .

[5]  A. Dooley,et al.  A Family of Generalized Riesz Products , 1996, Canadian Journal of Mathematics.

[6]  John J. Benedetto,et al.  Pyramidal Riesz products associated with subband coding and self-similarity , 1995, Defense, Security, and Sensing.

[7]  S. Koumandos Lp-convergence of a certain class of product martingales , 1994, Proceedings of the Edinburgh Mathematical Society.

[8]  J. Choksi,et al.  The Maximal Spectral Type of a Rank One Transformation , 1994, Canadian Mathematical Bulletin.

[9]  Gavin Brown,et al.  Odometer actions on G-measures , 1991, Ergodic Theory and Dynamical Systems.

[10]  R. Bott Singularity of generalised Riesz products , 1983, Mathematical Proceedings of the Cambridge Philosophical Society.

[11]  L. Modica,et al.  Singular Measures and Riesz Products , 1982 .

[12]  G. Ritter On Kakutani's dichotomy theorem for infinite products of not necessarily independent functions , 1979 .

[13]  G. Brown Singular infinitely divisible distributions whose characteristic functions vanish at infinity , 1977, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  Michel Loève,et al.  Probability Theory I , 1977 .

[15]  W. Moran,et al.  Products of Random Variables and Kakutani's Criterion for Orthogonality of Product Measures , 1975 .

[16]  M. Keane Interval exchange transformations , 1975 .

[17]  G. Brown Riesz Products and Generalized Characters , 1975 .

[18]  Edwin Hewitt,et al.  Real And Abstract Analysis , 1967 .

[19]  E. Hewitt,et al.  Singular measures with absolutely continuous convolution squares , 1966, Mathematical Proceedings of the Cambridge Philosophical Society.

[20]  W. Rudin,et al.  Fourier Analysis on Groups. , 1965 .

[21]  F. Riesz,et al.  Leçons d,analyse fonctionnelle , 1953 .

[22]  P. A. P. Moran,et al.  Additive functions of intervals and Hausdorff measure , 1946, Mathematical Proceedings of the Cambridge Philosophical Society.

[23]  A. Schaeffer The Fourier-Stieltjes Coefficients of a Function of Bounded Variation , 1939 .

[24]  R. Salem,et al.  On Lacunary Trigonometric Series. , 1932, Proceedings of the National Academy of Sciences of the United States of America.

[25]  Friedrich Riesz Über die Fourierkoeffizienten einer stetigen Funktion von beschränkter Schwankung , 1918 .

[26]  John J. Benedetto,et al.  Periodic Wavelet Transforms and Periodicity Detection , 2002, SIAM J. Appl. Math..

[27]  A. Bisbas A multifractal analysis of an interesting class of measures , 1996 .

[28]  A. Fan Analyse multifractale de certains produits de Riesz avec phases , 1995 .

[29]  A. Fan Equivalence et orthogonalité des mesures aléatoires engendrées par martingales positives homogènes , 1991 .

[30]  Sadahiro Saeki,et al.  On Riesz Product Measures; Mutual Absolute Continuity and Singularity , 1988 .

[31]  B. Host,et al.  Analyse harmonique des mesures : Séminaire de Villetaneuse , 1986 .

[32]  S. Kakutani On Equivalence of Infinite Product Measures , 1948 .