On theβ-expansions of real numbers
Tài liệu tham khảo
A. Rényi, Representations for real numbers and their ergodic properties,Acta Math. Acad. Sci. Hung.,8 (1957), pp. 477–493.
P. R. Halmos,Lectures on ergodic theory, Mathematical Society of Japan (1956).
F. Riesz etB. Sz.-Nagy,Leçons d'analyse fonctionnelle (Budapest, 1952).
P. R. Halmos,Measure theory (New York, 1950).
M. E. Munroe,Introduction to measure and integration (Cambridge, 1953).
J. W. S. Cassels,An introduction to diophantine approximations, Cambridge Tracts (1957).
G. D. Birkhoff, Proof of the ergodic theorem,Proc. Nat. Acad. Sci. USA,17 (1931), pp. 162–166.