@article{CM_1980__42_2_217_0, author = {Gelfand, I. M. and Graev, M. I. and Ver\v{s}ik, A. M.}, title = {Representations of the group of functions taking values in a compact {Lie} group}, journal = {Compositio Mathematica}, pages = {217--243}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {42}, number = {2}, year = {1980}, mrnumber = {596877}, zbl = {0449.22019}, language = {en}, url = {http://archive.numdam.org/item/CM_1980__42_2_217_0/} }
TY - JOUR AU - Gelfand, I. M. AU - Graev, M. I. AU - Veršik, A. M. TI - Representations of the group of functions taking values in a compact Lie group JO - Compositio Mathematica PY - 1980 SP - 217 EP - 243 VL - 42 IS - 2 PB - Sijthoff et Noordhoff International Publishers UR - http://archive.numdam.org/item/CM_1980__42_2_217_0/ LA - en ID - CM_1980__42_2_217_0 ER -
%0 Journal Article %A Gelfand, I. M. %A Graev, M. I. %A Veršik, A. M. %T Representations of the group of functions taking values in a compact Lie group %J Compositio Mathematica %D 1980 %P 217-243 %V 42 %N 2 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1980__42_2_217_0/ %G en %F 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) no. 2, pp. 217-243. http://archive.numdam.org/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 | Zbl
, and :[2] Irreducible representations of the group GX and cohomology. Funct. Anal. and its Appl. 8, no 2 (1974) 67. | MR | Zbl
, 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 | Zbl
, , :[4] Generalized functions, Vol. 4: Applications of Harmonic Analysis. Academic Press, New York, 1964. | MR | Zbl
, :[5] Metody przestreni Hilberta. Warsawa, 1959. | MR
:[6] Stochastic processes. New York, 1953. | MR | Zbl
:[7] On unitary representations of the group C∞ 0(X, G), G = SU2. Mat. Sbornik, 100, no. 1 (1976) 117. | Zbl
:[8] Partial differential equations. New York, 1962.
:[9] The P (ϕ2) Euclidean (quantum) field theory. Princeton Univ. Press, 1974. | Zbl
:[10] Integration in Hilbert spaces. Moscow, "Nauka", 1975. | MR
:[11] Some Applications of the Functional Analysis in Mathematical Physics. Leningrad, 1950. | MR | Zbl
:[12] The spectral function of an elliptic operator. Acta Math. 121, no. 3-4 (1968) 193. | MR | Zbl
:[13] Integral, Measure, and Derivative on linear spaces. Moscow, "Nauka", 1967. | MR | Zbl
, :[14] Pseudodifferential Operators and the Spectral Theory. Moscow, "Nauka", 1978. | MR | Zbl
:[15] The Energy representation of Sobolev-Lie groups. Preprint Universitat Bielefeld, 1976.
, :[16] Symmetric Hilbert spaces and related topics. Lect. Notes in Math. N 261, Springer, Berlin, 1972. | MR | Zbl
:[17] A new method for constructing factorisable representation for current groups and current algebras, Commun. Math. Phys., 51, no. 1 (1976) 1. | MR | Zbl
and :