Article PDF
Avoid common mistakes on your manuscript.
References
1937 [1] Saks, S., Theory of the Integral, Monografie Matematyczne, Tom VII, Warsaw. Translated by L. C. Young. New York: Stechert & Co.
1953 [1] Lorentz, G. G., & D. G. Wertheim, Canadian J. Math. 5, 568–575.
1956 [1] Luxemburg, W. A. J., & A. C. Zaanen, Proc. Acad. Sci. Amsterdam 59, 110–119.
1957 [1] Hille, E., & R. S. Phillips, Functional Analysis and Semi-Groups. American Math. Soc. Colloquium Publications, Vol. XXXI, Providence.
1958 [1] Dunford, N., & J. T. Schwartz, Linear Operators, Parti. New York: Interscience Publishers.
1960 [1] Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 6, 355–370.
1961 [1] Coleman, B. D., & W. Noll, Reviews Mod. Phys. 33, 239–249; ibid. 36, 1103 (1964).
1963 [1] Luxemburg, W. A. J., & A. C. Zaanen, Math. Annalen 149, 150–180.
1964 [1] Coleman, B. D., Arch. Rational Mech. Anal. 17, 1–46, 230–254.
[2] Coleman, B. D., & W. Noll, Proc. Intl. Sympos. Second-Order Effects, Haifa 1962, pp. 530–552.
1965 [1] Coleman, B. D., M. E. Gurtin, & I. Herrera R. Arch. Rational Mech. Anal. 19, 1–19.
1965 [2] Luxemburg, W. A. J., Indag. Math. 27, 229–248.
1965 [3] Wang, C.-C., Arch. Rational Mech. Anal. 18, 117–126, 343–366.
1966 [1] Coleman, B. D., & V. J. Mizel, Arch. Rational Mech. Anal. 23, 87–123.
1966 [2] Luxemburg, W. A. J., & A. C. Zaanen, Math. Annalen 162, 337–350.
1967 [1] Coleman, B. D., & V. J. Mizel, Arch. Rational Mech. Anal. 27, 255–274.
1967 [2] Perzyna, P., Arch. Mech. Stosowanej 19, 537–547.
Author information
Authors and Affiliations
Additional information
We should like to thank Dr. Marshall J. Leitman for suggesting that some of our earlier theorems about the structure of influence measures [1966, 1] should remain valid in more general Branch function spaces.
This research was supported by the Air Force Office of Scientific Research under Grant AFOSR 728-66 and by the National Science Foundation under Grant GP 7607.
Rights and permissions
About this article
Cite this article
Coleman, B.D., Mizel, V.J. On the general theory of fading memory. Arch. Rational Mech. Anal. 29, 18–31 (1968). https://doi.org/10.1007/BF00256456
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00256456