Abstract
Short of a new theorem on semigroups of operators, a new proof of an old theorem on this subject is a suitable offering to Einar Hille on his 85th birthday.
Similar content being viewed by others
Bibliography
Cooper, J.L.B.: One parameter semigroups of isometric operators in Hilbert space, Ann. Math. Ser 2, Vol. 48, 1947, p. 827–842.
Lax, P.D. and Phillips, R.S.: Scattering Theory, Academic Press, New York, 1967.
Mackey, G.: In Functional Analysis and Related Fields, F. Browder, Ed., Springer-Verlag, New York, 1970.
Mackey, G.: Unitary Group Representation in Physics, Probability and Number Theory, Benjamin, 1978.
Sinai, Ja.G.: Dynamical Systems with Countable Lebesgue Spectrum. I, Izv. Akad. Nauk. USSR 25, 1961, p. 899–924.
Author information
Authors and Affiliations
Additional information
The work of both authors was supported in part by the National Science Foundation, the first author under Grant No. MCS-76-07039 and the second author under Grant No. MCS-77-04908 A 01.
Rights and permissions
About this article
Cite this article
Lax, P.D., Phillips, R.S. The translation representation theorem. Integr equ oper theory 4, 416–421 (1981). https://doi.org/10.1007/BF01697973
Issue Date:
DOI: https://doi.org/10.1007/BF01697973