Singular functions associated with Markov chains
Author:
John R. Kinney
Journal:
Proc. Amer. Math. Soc. 9 (1958), 603-608
MSC:
Primary 60.00; Secondary 94.00
DOI:
https://doi.org/10.1090/S0002-9939-1958-0099719-X
MathSciNet review:
0099719
Full-text PDF Free Access
References | Similar Articles | Additional Information
- [1] T. E. Harris, On chains of infinite order, Pacific J. Math. 5 (1955), 707–724. MR 75482
- [2] Norbert Wiener and Aurel Wintner, Fourier-Stieltjes Transforms and Singular Infinite Convolutions, Amer. J. Math. 60 (1938), no. 3, 513–522. MR 1507332, https://doi.org/10.2307/2371591
- [3] R. Salem, On singular monotonic functions whose spectrum has a given Hausdorff dimension, Ark. Mat. 1 (1951), 353–365. MR 43249, https://doi.org/10.1007/BF02591372
- [4] C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948), 379–423, 623–656. MR 26286, https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
- [5] H. G. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. (2) 54 (1952), 42–93. MR 48504, https://doi.org/10.1112/plms/s2-54.1.42
- [6] J. Gillis, A note on a theorem of Myrberg, Proc. Cambridge Philos. Soc. vol. 33 (1937) pp. 419-424.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60.00, 94.00
Retrieve articles in all journals with MSC: 60.00, 94.00
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1958-0099719-X
Article copyright:
© Copyright 1958
American Mathematical Society