Geodesic
The Maximal Spectral Type of a Rank One Transformation
Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 29-36

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper it is shown that the maximal spectral type of a general rank one transformation is given by a kind of generalized Riesz product, with possibly some discrete measure.
DOI : 10.4153/CMB-1994-005-4
Mots-clés : 28D05, 42A55, 47A35 
Choksi, J. R.; Nadkarni, M. G. The Maximal Spectral Type of a Rank One Transformation. Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 29-36. doi: 10.4153/CMB-1994-005-4
@article{10_4153_CMB_1994_005_4,
     author = {Choksi, J. R. and Nadkarni, M. G.},
     title = {The {Maximal} {Spectral} {Type} of a {Rank} {One} {Transformation}},
     journal = {Canadian mathematical bulletin},
     pages = {29--36},
     year = {1994},
     volume = {37},
     number = {1},
     doi = {10.4153/CMB-1994-005-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-005-4/}
}
TY  - JOUR
AU  - Choksi, J. R.
AU  - Nadkarni, M. G.
TI  - The Maximal Spectral Type of a Rank One Transformation
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 29
EP  - 36
VL  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-005-4/
DO  - 10.4153/CMB-1994-005-4
ID  - 10_4153_CMB_1994_005_4
ER  - 
%0 Journal Article
%A Choksi, J. R.
%A Nadkarni, M. G.
%T The Maximal Spectral Type of a Rank One Transformation
%J Canadian mathematical bulletin
%D 1994
%P 29-36
%V 37
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-005-4/
%R 10.4153/CMB-1994-005-4
%F 10_4153_CMB_1994_005_4

[1] 1. Baxter, J. R., A class ofergodic automorphisms, Ph.thesis, D., Univ. of Toronto, 1969. Google Scholar

[2] 2. Brown, G., Riesz products and generalized characters, Proc. London Math. Soc. (3) 30(1975), 209–233. Google Scholar

[3] 3. Friedman, N., Replication and stacking in ergodic theory, Amer. Math. Monthly 99(1992), 31–41. Google Scholar

[4] 4. Friedman, N., Mixing and sweeping out, Israel J. Math. 68(1989), 365–375. Google Scholar

[5] 5. Host, B., Mela, J.-F. and Parreau, F., Non-singular transformations and spectral analysis of measures, Bull. Soc. Math. France 119(1991), 33–90. Google Scholar

[6] 6. Kilmer, S. J. and Saeki, S., On Riesz product measures, mutual absolute continuity and singularity, Ann. Inst. Fourier (2)38(1988), 63–69. Google Scholar

[7] 7. Parreau, F., Ergodicité et pureté des produits de Riesz, Ann. Inst. Fourier (2) 40(1990), 391–405. Google Scholar

[8] 8. Peyrière, J., Etude de quelques propriétés des produits de Riesz, Ann. Inst. Fourier (2) 25(1975), 127–169. Google Scholar

[9] 9. Zygmund, A., Trigonometric Series, Cambridge Univ. Press, 1968. Google Scholar

Cité par Sources :