@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}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {36}, number = {1}, year = {1978}, mrnumber = {515036}, zbl = {0393.22013}, language = {en}, url = {http://archive.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 - http://archive.numdam.org/item/CM_1978__36_1_37_0/ LA - en ID - CM_1978__36_1_37_0 ER -
%0 Journal Article %A Albeverio, Sergio %A Høegh-Krohn, Raphael %T The energy representation of Sobolev-Lie groups %J Compositio Mathematica %D 1978 %P 37-51 %V 36 %N 1 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1978__36_1_37_0/ %G en %F CM_1978__36_1_37_0
Albeverio, Sergio; Høegh-Krohn, Raphael. The energy representation of Sobolev-Lie groups. Compositio Mathematica, Volume 36 (1978) no. 1, pp. 37-51. http://archive.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. | MR | Zbl
:[7] Factorizable representations of current algebra. Publ. RIMS, Kyoto, Ser. A5 (1970) 361-422. | MR | Zbl
:[8] Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Lecture Notes in Mathematics, Vol. 272, Springer, Berlin (1972). | MR | Zbl
, :[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. | MR | Zbl
:[11] Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics, Vol. 261, Springer, Berlin (1972). | MR | Zbl
:[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. | MR | Zbl
, , :[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). | MR | Zbl
:[17] On the construction of certain diffusions on a differentiable manifold. Z. Wahrscheinlichkeitsth. und verw. geb. 2 (1964) 209-419. | MR | Zbl
:[18] Stochastic integrals. Academic Press (1969). | MR | Zbl
:[19] The Brownian motion and tensor fields on Riemannian manifolds. Proc. Int. Congr. Math. Stockholm (1963) 536-539. | MR | Zbl
: