@article{CM_1980__42_2_217_0, author = {Gelfand, Izrail M. and Graev, M. I. and Ver\v sik, A. M.}, title = {Representations of the group of functions taking values in a compact Lie group}, journal = {Compositio Mathematica}, volume = {42}, year = {1980}, pages = {217-243}, mrnumber = {596877}, zbl = {0449.22019}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1980__42_2_217_0} }
Gelfand, I. M.; Graev, M. I.; Veršik, A. M. Representations of the group of functions taking values in a compact Lie group. Compositio Mathematica, Tome 42 (1980) pp. 217-243. http://gdmltest.u-ga.fr/item/CM_1980__42_2_217_0/
[1] Representations of the group SL(2, R) where R is a ring of functions. Russ. Math. Surv. 28, no. 5 (1973) 83. | MR 393337 | Zbl 0297.22003
, and :[2] Irreducible representations of the group GX and cohomology. Funct. Anal. and its Appl. 8, no 2 (1974) 67. | MR 348032 | Zbl 0299.22004
, and :[3] Representations of the group of smooth mappings of a manifold X into a compact Lie group. Compositio Math. 35, Fasc. 3 (1977) 299. | Numdam | MR 578652 | Zbl 0368.53034
, , :[4] Generalized functions, Vol. 4: Applications of Harmonic Analysis. Academic Press, New York, 1964. | MR 173945 | Zbl 0136.11201
, :[5] Metody przestreni Hilberta. Warsawa, 1959. | MR 131148
:[6] Stochastic processes. New York, 1953. | MR 58896 | Zbl 0053.26802
:[7] On unitary representations of the group C∞ 0(X, G), G = SU2. Mat. Sbornik, 100, no. 1 (1976) 117. | Zbl 0383.22002
:[8] Partial differential equations. New York, 1962.
:[9] The P (ϕ2) Euclidean (quantum) field theory. Princeton Univ. Press, 1974. | Zbl 1175.81146
:[10] Integration in Hilbert spaces. Moscow, "Nauka", 1975. | MR 466482
:[11] Some Applications of the Functional Analysis in Mathematical Physics. Leningrad, 1950. | MR 52039 | Zbl 0123.09003
:[12] The spectral function of an elliptic operator. Acta Math. 121, no. 3-4 (1968) 193. | MR 609014 | Zbl 0164.13201
:[13] Integral, Measure, and Derivative on linear spaces. Moscow, "Nauka", 1967. | MR 225964 | Zbl 0162.19002
, :[14] Pseudodifferential Operators and the Spectral Theory. Moscow, "Nauka", 1978. | MR 509034 | Zbl 0451.47064
:[15] The Energy representation of Sobolev-Lie groups. Preprint Universitat Bielefeld, 1976. | MR 515036 | Zbl 0393.22013
, :[16] Symmetric Hilbert spaces and related topics. Lect. Notes in Math. N 261, Springer, Berlin, 1972. | MR 493402 | Zbl 0265.43008
:[17] A new method for constructing factorisable representation for current groups and current algebras, Commun. Math. Phys., 51, no. 1 (1976) 1. | MR 419688 | Zbl 0332.43009
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