Geodesic
The Group of Eigenvalues of a Rank One Transformation
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 42-54

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

In this paper, several characterizations are given of the group of eigenvalues of a rank one transformation. One of these is intimately related to the corresponding expression for the maximal spectral type of a rank one transformation given in an earlier paper.
DOI : 10.4153/CMB-1995-006-6
Mots-clés : 28D05, 47A35 
Choksi, J. R.; Nadkarni, G. The Group of Eigenvalues of a Rank One Transformation. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 42-54. doi: 10.4153/CMB-1995-006-6
@article{10_4153_CMB_1995_006_6,
     author = {Choksi, J. R. and Nadkarni, G.},
     title = {The {Group} of {Eigenvalues} of a {Rank} {One} {Transformation}},
     journal = {Canadian mathematical bulletin},
     pages = {42--54},
     year = {1995},
     volume = {38},
     number = {1},
     doi = {10.4153/CMB-1995-006-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-006-6/}
}
TY  - JOUR
AU  - Choksi, J. R.
AU  - Nadkarni, G.
TI  - The Group of Eigenvalues of a Rank One Transformation
JO  - Canadian mathematical bulletin
PY  - 1995
SP  - 42
EP  - 54
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-006-6/
DO  - 10.4153/CMB-1995-006-6
ID  - 10_4153_CMB_1995_006_6
ER  - 
%0 Journal Article
%A Choksi, J. R.
%A Nadkarni, G.
%T The Group of Eigenvalues of a Rank One Transformation
%J Canadian mathematical bulletin
%D 1995
%P 42-54
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-006-6/
%R 10.4153/CMB-1995-006-6
%F 10_4153_CMB_1995_006_6

[1] 1. Choksi, J. R. and Nadkarni, M. G., The maximal spectral type of a rank one transformation, Canad. Math. Bull. 37(1994), 29–36. Google Scholar

[2] 2. Doob, J. L., Stochastic Processes, Wiley Interscience, New York, 1953. Google Scholar

[3] 3. Ito, Y., Kamae, T. and Shiokawa, I., Point spectrum and Hausdorff dimension, Number Theory and Combinatorics, (eds. J. Akiyama et al), World Scientific Publishing Co. Tokyo, 1985, 209–227. Google Scholar

[4] 4. Osikawa, M., Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. 13(1977), 167–172. Google Scholar

Cité par Sources :