@article{CM_1978__36_1_37_0,
author = {Albeverio, Sergio and H{\o}egh-Krohn, Raphael},
title = {The energy representation of {Sobolev-Lie} groups},
journal = {Compositio Mathematica},
pages = {37--51},
year = {1978},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {36},
number = {1},
mrnumber = {515036},
zbl = {0393.22013},
language = {en},
url = {https://www.numdam.org/item/CM_1978__36_1_37_0/}
}
TY - JOUR AU - Albeverio, Sergio AU - Høegh-Krohn, Raphael TI - The energy representation of Sobolev-Lie groups JO - Compositio Mathematica PY - 1978 SP - 37 EP - 51 VL - 36 IS - 1 PB - Sijthoff et Noordhoff International Publishers UR - https://www.numdam.org/item/CM_1978__36_1_37_0/ LA - en ID - CM_1978__36_1_37_0 ER -
Albeverio, Sergio; Høegh-Krohn, Raphael. The energy representation of Sobolev-Lie groups. Compositio Mathematica, Tome 36 (1978) no. 1, pp. 37-51. https://www.numdam.org/item/CM_1978__36_1_37_0/
[1] : Current commutation relations, continuous tensor products, and infinitely divisible group representations, in Local Quantum theory (R. Jost Ed.), Academic Press, London (1969).
[2] D.H. SHARP, A.S. WIGHTMAN, Edts.: Local Currents and their Applications. North Holland (1974).
[3] : Ultralocal quantum field theory in terms of currents. Commun. Math. Phys. 26 (1972) 169-204. | MR
[4] , : Representations of the gauge groups of electrodynamics and general relativity. Helv. Phys. Acta 45, (1972) 97-202 (Fierz Festschrift).
[5] : Lectures on the Thirring model. Acta Phys. Austr. 43 (1975) 43-88. | MR
[6] : Infinitely divisible representations of Lie algebras. Zeitschr. f. Wahrsch. v. verw. geb. 19 (1971) 67-80. | Zbl | MR
[7] : Factorizable representations of current algebra. Publ. RIMS, Kyoto, Ser. A5 (1970) 361-422. | Zbl | MR
[8] , : Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Lecture Notes in Mathematics, Vol. 272, Springer, Berlin (1972). | Zbl | MR
[9] : Algebras with quasi local structure and factorizable representations, in Mathematics of Contemporary Physics, R. Streater Edt., Academic Press, London (1972).
[10] : Exponential Hilbert space: Fock space revisited. J. Math. Phys. 11 (1970) 609-630. | Zbl | MR
[11] : Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics, Vol. 261, Springer, Berlin (1972). | Zbl | MR
[12] , , : Representations of the group SL (2, R), where R is a ring of functions. Russ. Math. Surv. 28, No 5 (1973) 83-128. | Zbl
[13] , , : Irreducible representations of the group Gx and cohomology. Funct. Anal. and its Appl. 8, No 2 (1974) 67-69. | Zbl | MR
[14] , , : Representations of the group of diffeomorphisms connected with infinite configurations. Preprint (1975).
[15] : On the unitary representations of the group of diffeomorphisms of the space Rn, n ≽ 2. Funct. Anal. and its Appl. 9, No 2 (1975) 71-72. | Zbl
[16] : Differential geometry and symmetric spaces. Academic Press (1962). | Zbl | MR
[17] : On the construction of certain diffusions on a differentiable manifold. Z. Wahrscheinlichkeitsth. und verw. geb. 2 (1964) 209-419. | Zbl | MR
[18] : Stochastic integrals. Academic Press (1969). | Zbl | MR
[19] : The Brownian motion and tensor fields on Riemannian manifolds. Proc. Int. Congr. Math. Stockholm (1963) 536-539. | Zbl | MR






