Abstract:
Extensions of noncountably additive (cylindrical) measures are described, and examples of Hilbert supports of the Lévy–Gauss measure are given.
Citation:
O. G. Smolyanov, L. Accardi, “Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian”, Mat. Zametki, 64:4 (1998), 483–492; Math. Notes, 64:4 (1998), 421–428
Accardi L., Smolyanov O.G., “Feynman Formulas for Evolution Equations with Levy Laplacians on Manifolds”, Quantum Probability and Infinite Dimensional Analysis, Proceedings, Qp-Pq Quantum Probability and White Noise Analysis, 20, eds. Accardi L., Freudenberg W., Schurmann M., World Scientific Publ Co Pte Ltd, 2007, 13–25
Accardi, L, “Feynman formulas for evolution equations with Levy Laplacians on infinite-dimensional manifolds”, Doklady Mathematics, 73:2 (2006), 252
Obrezkov, OO, “Non-self-adjoint extensions of the Levy-Laplacian and the Levy-Laplace equation”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 9:1 (2006), 67
I. D. Tveritinov, “Relationship Between Distinct Realizations of Bogolyubov Transformations”, Math. Notes, 75:5 (2004), 744–748
Accardi, L, “Levy Laplacian acting on operators”, Russian Journal of Mathematical Physics, 10:4 (2003), 359
L. Accardi, O. G. Smolyanov, “Lévy–Laplace Operators in Functional Rigged Hilbert Spaces”, Math. Notes, 72:1 (2002), 129–134