Geodesic
Inversion Quasi-Invariant Gaussian Measures on the Group of Upper-Triangular Matrices of Infinite Order
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 1, pp. 86-90.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_2000_34_1_a9,
     author = {A. V. Kosyak},
     title = {Inversion {Quasi-Invariant} {Gaussian} {Measures} on the {Group} of {Upper-Triangular} {Matrices} of {Infinite} {Order}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {86--90},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_1_a9/}
}
TY  - JOUR
AU  - A. V. Kosyak
TI  - Inversion Quasi-Invariant Gaussian Measures on the Group of Upper-Triangular Matrices of Infinite Order
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2000
SP  - 86
EP  - 90
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2000_34_1_a9/
LA  - ru
ID  - FAA_2000_34_1_a9
ER  - 
%0 Journal Article
%A A. V. Kosyak
%T Inversion Quasi-Invariant Gaussian Measures on the Group of Upper-Triangular Matrices of Infinite Order
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2000
%P 86-90
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2000_34_1_a9/
%G ru
%F FAA_2000_34_1_a9
A. V. Kosyak. Inversion Quasi-Invariant Gaussian Measures on the Group of Upper-Triangular Matrices of Infinite Order. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 1, pp. 86-90. http://geodesic.mathdoc.fr/item/FAA_2000_34_1_a9/

[1] Dixmier J., Les $C^*$-algebras et leur representations, Gautirs-Villars, Paris, 1969 | MR

[2] Ismagilov R. S., “O predstavleniyakh gruppy gladkikh otobrazhenii otrezka v kompaktnuyu gruppu Li”, Funkts. analiz i ego pril., 15:2 (1981), 73–74 | MR | Zbl

[3] Albeverio S., Hoegh-Krohn R., Testard D., “Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group”, J. Funct. Anal., 41 (1981), 378–396 | DOI | MR | Zbl

[4] Albeverio S., Hoegh-Krohn R., Testard D., Vershik A., “Factorial representations of path groups”, J. Funct. Anal., 51 (1983), 115–131 | DOI | MR | Zbl

[5] Kosyak A. V., “Criteria for irreducibility and equivalence of regular Gaussian representations of groups of finite upper-triangular matrices of infinite order”, Selecta. Math. Soviet., 11 (1992), 241–291 | MR | Zbl

[6] Kosyak A. V., “Irreducible regular Gaussian representations of the groups of the interval and circle diffeomorphisms”, J. Funct. Anal., 125 (1994), 493–547 | DOI | MR | Zbl

[7] Kosyak A. V., “Kriterii neprivodimosti regulyarnykh gaussovskikh predstavlenii gruppy finitnykh verkhnetreugolnykh matrits”, Funkts. analiz i ego pril., 24:3 (1990), 82–83 | MR | Zbl

[8] Go Kh. S., Gaussovy mery v banakhovykh prostranstvakh, Mir, M., 1976

[9] Skorokhod A. V., Integrirovanie v gilbertovom prostranstve, Nauka, M., 1975