Based on an adequate new Gel’fand triple, we construct the infinite dimensional free Gaussian white noise measure μ using the Bochner-Minlos theorem. Next, we give the chaos decomposition of an L2 space with respect to the measure μ .
X iv :h ep -t h/ 01 10 01 4v 1 1 O ct 2 00 1 THE RARITA-SCHWINGER OPERATOR 1 Bochner-Weitzenböck formulas associated with the Rarita-Schwinger operator Thomas Branson and Oussama Hijazi
We study the comparison between the Aumann and the Bochner integrals for integrably non empty bounded closed convex valued multifunctions in a separable Banach space when it is not possible to apply embedding theorems.
Using Bochner-Martinelli type residual currents we prove some generalizations of Jacobi’s Residue Formula, which allow proper polynomial maps to have ’common zeroes at infinity ’, in projective or toric situations.
We give the necessary conditions of extreme points and strongly extreme points in the unit ball of Köthe–Bochner spaces. The conditions have been shown to be sufficient earlier.
Well-posed space-time variational formulations in fractional order Bochner–Sobolev spaces are proposed for parabolic partial differential equations, and in particular for the instationary Stokes and Navier–Stokes equations on bounded Lipschitz domains. The latter formulations include the pressure variable as a primal unknown and so account for the incompressibility constraint via a Lagrange mul...
