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Angle metric, Grassmann manifold, Grassmann representative, Pl¨ ucker coordi- nates, Exterior algebra.. AMS
Kusuoka and Stroock [25, 26] have developed asymptotic expansions of certain Wiener functionals with degenerate extrema for processes on abstract Wiener space whilst Rossignol [27]
Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations , Methods and Applications of Analysis, 1 (2000), no.1, 195-
A characteristic function of a quadratic Wiener functional is a key object to investigate the principle of stationary phase on the Wiener space, and its exponential decay
Key words: Interacting Brownian motions, Brownian intersection local times, large deviations, occupation measure, Gross-Pitaevskii formula.. AMS 2000 Subject Classification:
This Gaussian concentration is derived from a Gaussian upper bound of the density of the scheme and a modification of the so-called “Herbst argument” used to prove Logarithmic
In this section we study Sobolev spaces on Lie manifolds without boundary. These results will then be used to study Sobolev spaces on Lie manifolds with true boundary, which in
The main pur- pose of this paper is to prove a sharp inequality for some vector-valued multilinear commutators related to the Marcinkiewicz operator.. By using the sharp inequal-
