References
Birkhoff, G., Kampé de Fériet, J.: Kinematics of homogeneous turbulence. Journ. Math. Mech.7, 663–704 (1958).
Bruhat, F.: Sur les représentations induites des groupes de Lie. Bull. Soc. Math. France84, 97–205 (1956).
Eberlein, W.F.: Abstract ergodic theorems and weak almost periodic functions. Trans. Amer. Math. Soc.67, 217–240 (1949).
Gelfand, I.M., Fomin, S.V.: Geodesic flows on manifolds of constant curvature. Amer. Math. Soc. Transl.1 (2), 49–65 (1955).
Hewitt, E., Ross, K.A.: Abstract harmonic analysis I. Berlin-Heidelberg-New York: Springer 1963.
Hirschfeld, R.A.: Conjugacy of transformation groups, in: Abstract spaces and approximation (Ed. P. L. Butzer and B. Sz.-Nagy). Basel/Stuttgart: Birkhäuser Verlag 1969.
Hurwitz, A.: Über die Erzeugung der Invarianten durch Integration, Gött. Nachr. 1897, 71–90 (= Math. Werke II, 546–564 = Modern Mathematical Classics (Ed. R. Bellman, Dover, N.Y., 1961, 150–168)).
Köthe, G.: Topologische lineare Räume I. Berlin-Heidelberg-New York: Springer 1966.
Lax, P.D., Phillips, R.S.: Scattering theory. New York: Academic Press 1967.
Loomis, L.H.: An introduction to abstract harmonic analysis. New York: Van Nostrand 1953.
Mackey, G.W.: A theorem of Stone and von Neumann. Duke Math. J.16, 313–326 (1949).
—— Imprimitivity for representations of locally compact groups I. Proc. Amer. Acad. Sc.35, 537–545 (1949).
—— Induced representations of locally compact groups I. Ann. of Math.55, 101–139 (1952).
—— Induced representations of groups and quantum mechanics. New York: W. A. Benjamin 1968.
Mandrekar, V., Nadkarni, M.: Quasi-invariance of analytic measures on compact groups. Bull. Amer. Math. Soc.73, 915–920 (1967).
Maurin, K.: General eigenfunction expansions and unitary representations of topological groups. PWN, Warszawa, 1968.
Rudin, W.: Fourier analysis on groups. New York: Interscience 1962.
Schaefer, H.H., Walsh, B.J.: Spectral operators in spaces of distributions. Bull. Amer. Math. Soc.68, 509–511 (1962).
—— Spectral measures in locally convex algebras. Acta Math.107, 125–173 (1962).
—— Topological vector spaces. New York: Macmillan 1966.
Serre, J.-P.: Représentations linéaires des groupes finis. Paris: Hermann 1967.
Sz.-Nagy, B.: On uniformly bounded linear transformations in Hilbert space. Acta Sci. Math. Szeged11, 152–157 (1947).
Walsh, B.: Structure of spectral measures on locally convex spaces. Trans. Amer. Math. Soc.120, 295–326 (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hirschfeld, R.A. Projective limits of unitary representations. Math. Ann. 194, 180–196 (1971). https://doi.org/10.1007/BF01350049
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01350049