White noise space analysis and multiplicative change of measures

In this paper we display a family of Gaussian processes, with explicit formulas and transforms. This is presented the use duality tools in such way that corresponding path-space measures are mutually singular. We make representations canonical commutation relations (CCR) an infinite number degrees freedom. A key feature our construction for associated transforms; these infinite-dimensional analogues Fourier Our framework Hilbert spaces, reproducing kernel Fock spaces. The latter forms setting CCR representations. further show, representation theory, analysis, pairwise inequivalent probability spaces (for processes) correspond manner to disjoint