01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
30.04.1974
E-mail:
Keywords:
infinite-dimensional spaces and manifolds; measures; Sobolev functions; capacities.
Main publications:
Pugachev O. V. Tightness of Sоbоlеv capacities in infinite dimensional spaces // Infinite Dimensional Analysis, Quantum Probability and Related Topics, 1999, v. 2, no. 3.
Pugachev O. V. Surface measures and tightness of (r,p)-capacities on Poisson space // BiBoS Preprint № 01-10-065, 2001.
V. S. Zarubin, O. V. Pugachev, I. Yu. Savelyeva, “Application of the least squares method to the problem of radiation transfer in a spherical cavity”, Mat. Mod. Chisl. Met., 2015, no. 8, 53–65
2014
2.
O. V. Pugachev, “Support of diffusion on a cluster Poisson space”, Sib. Èlektron. Mat. Izv., 11 (2014), 327–333
2010
3.
O. V. Pugachev, “On the closability and convergence of Dirichlet forms”, Trudy Mat. Inst. Steklova, 270 (2010), 220–225; Proc. Steklov Inst. Math., 270 (2010), 216–221
O. V. Pugachev, “On Mosco Convergence of Diffusion Dirichlet Forms”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 277–292; Theory Probab. Appl., 53:2 (2009), 242–255
O. V. Pugachev, “Capacities and Surface Measures in Locally Convex Spaces”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 178–189; Theory Probab. Appl., 53:1 (2009), 179–190
O. V. Pugachev, “Sobolev Capacities of Configurations with Multiple Points in Poisson Space”, Mat. Zametki, 76:6 (2004), 874–882; Math. Notes, 76:6 (2004), 816–823
O. V. Pugachev, “Construction of non-Gaussian surface measures by the Malliavin method”, Mat. Zametki, 65:3 (1999), 377–388; Math. Notes, 65:3 (1999), 315–325
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