Geodesic
Extensions of spaces with cylindrical measures and supports of measures determined by the L\'evy Laplacian
Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 483-492.

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

Extensions of noncountably additive (cylindrical) measures are described, and examples of Hilbert supports of the Lévy–Gauss measure are given. 
@article{MZM_1998_64_4_a0,
     author = {O. G. Smolyanov and L. Accardi},
     title = {Extensions of spaces with cylindrical measures and supports of measures determined by the {L\'evy} {Laplacian}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--492},
     publisher = {mathdoc},
     volume = {64},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a0/}
}
TY  - JOUR
AU  - O. G. Smolyanov
AU  - L. Accardi
TI  - Extensions of spaces with cylindrical measures and supports of measures determined by the L\'evy Laplacian
JO  - Matematičeskie zametki
PY  - 1998
SP  - 483
EP  - 492
VL  - 64
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a0/
LA  - ru
ID  - MZM_1998_64_4_a0
ER  - 
%0 Journal Article
%A O. G. Smolyanov
%A L. Accardi
%T Extensions of spaces with cylindrical measures and supports of measures determined by the L\'evy Laplacian
%J Matematičeskie zametki
%D 1998
%P 483-492
%V 64
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a0/
%G ru
%F MZM_1998_64_4_a0
O. G. Smolyanov; L. Accardi. Extensions of spaces with cylindrical measures and supports of measures determined by the L\'evy Laplacian. Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 483-492. http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a0/

[1] Arefeva I. Ya., Volovich I. V., “Funktsionalnye zakony sokhraneniya vysshikh poryadkov v kalibrovochnykh teoriyakh”, Obobschennye funktsii i ikh prilozheniya v matematicheskoi fizike, MIAN, M., 1981, 43–50

[2] Accardi L., Gibilisco P., Volovich I. V., “Yang–Mills gauge fields as harmonic functions for the Lèvi Laplacian”, Russian J. Math. Phys., 2:2 (1994), 235–250 | MR | Zbl

[3] Akkardi L., Rozelli P., Smolyanov O. G., “Brounovskoe dvizhenie, porozhdaemoe laplasianom Levi”, Matem. zametki, 54:5 (1993), 144–149 | MR

[4] Akkardi L., Smolyanov O. G., “Gaussovskii protsess, porozhdennyi laplasianom Levi i sootvetstvuyuschaya emu formula Feinmana–Katsa”, Dokl. RAN, 342:4 (1995), 442–445 | MR

[5] Akkardi L., Smolyanov O. G., “Preobrazovaniya gaussovskikh mer, porozhdennykh laplasianom Levi, i obobschennye sledy”, Dokl. RAN, 342:5 (1995), 234–237 | MR

[6] Accardi L., Smolyanov O. G., “On Laplacians and traces”, Confer. Sem. Mat. Univ. Bari, 250 (1993), 1–25

[7] Smolyanov O. G., Fomin S. V., “Mery na topologicheskikh lineinykh prostranstvakh”, UMN, 31:4 (1976), 1–76

[8] Daletskii Yu. L., Fomin S. V., Mery i differentsialnye uravneniya na beskonechnomernykh prostranstvakh, Nauka, M., 1983