×

Projective limits of unitary representations. (English) Zbl 0229.22009


MSC:

22D10 Unitary representations of locally compact groups
22A25 Representations of general topological groups and semigroups
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Birkhoff, G., Kampé de Fériet, J.: Kinematics of homogeneous turbulence. Journ. Math. Mech.7, 663-704 (1958). · Zbl 0081.41103
[2] Bruhat, F.: Sur les représentations induites des groupes de Lie. Bull. Soc. Math. France84, 97-205 (1956). · Zbl 0074.10303
[3] Eberlein, W.F.: Abstract ergodic theorems and weak almost periodic functions. Trans. Amer. Math. Soc.67, 217-240 (1949). · Zbl 0034.06404 · doi:10.1090/S0002-9947-1949-0036455-9
[4] Gelfand, I.M., Fomin, S.V.: Geodesic flows on manifolds of constant curvature. Amer. Math. Soc. Transl.1 (2), 49-65 (1955). · Zbl 0066.36101
[5] Hewitt, E., Ross, K.A.: Abstract harmonic analysis I. Berlin-Heidelberg-New York: Springer 1963. · Zbl 0115.10603
[6] 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. · Zbl 0197.40202
[7] 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)).
[8] Köthe, G.: Topologische lineare Räume I. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0137.31301
[9] Lax, P.D., Phillips, R.S.: Scattering theory. New York: Academic Press 1967. · Zbl 0214.12002
[10] Loomis, L.H.: An introduction to abstract harmonic analysis. New York: Van Nostrand 1953. · Zbl 0052.11701
[11] Mackey, G.W.: A theorem of Stone and von Neumann. Duke Math. J.16, 313-326 (1949). · Zbl 0036.07703 · doi:10.1215/S0012-7094-49-01631-2
[12] ?? Imprimitivity for representations of locally compact groups I. Proc. Amer. Acad. Sc.35, 537-545 (1949). · Zbl 0035.06901 · doi:10.1073/pnas.35.9.537
[13] ?? Induced representations of locally compact groups I. Ann. of Math.55, 101-139 (1952). · Zbl 0046.11601 · doi:10.2307/1969423
[14] ?? Induced representations of groups and quantum mechanics. New York: W. A. Benjamin 1968. · Zbl 0174.28101
[15] Mandrekar, V., Nadkarni, M.: Quasi-invariance of analytic measures on compact groups. Bull. Amer. Math. Soc.73, 915-920 (1967). · Zbl 0193.10601 · doi:10.1090/S0002-9904-1967-11844-5
[16] Maurin, K.: General eigenfunction expansions and unitary representations of topological groups. PWN, Warszawa, 1968. · Zbl 0185.39001
[17] Rudin, W.: Fourier analysis on groups. New York: Interscience 1962. · Zbl 0107.09603
[18] Schaefer, H.H., Walsh, B.J.: Spectral operators in spaces of distributions. Bull. Amer. Math. Soc.68, 509-511 (1962). · Zbl 0111.11203 · doi:10.1090/S0002-9904-1962-10798-8
[19] ?? Spectral measures in locally convex algebras. Acta Math.107, 125-173 (1962). · Zbl 0112.34303 · doi:10.1007/BF02545784
[20] ?? Topological vector spaces. New York: Macmillan 1966. · Zbl 0141.30503
[21] Serre, J.-P.: Représentations linéaires des groupes finis. Paris: Hermann 1967.
[22] Sz.-Nagy, B.: On uniformly bounded linear transformations in Hilbert space. Acta Sci. Math. Szeged11, 152-157 (1947). · Zbl 0029.30501
[23] Walsh, B.: Structure of spectral measures on locally convex spaces. Trans. Amer. Math. Soc.120, 295-326 (1965). · Zbl 0138.38501 · doi:10.1090/S0002-9947-1965-0196503-1
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.