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In this paper we display a family of Gaussian processes, with explicitformulas and transforms. This is presented with the use of duality tools insuch a way that the corresponding path-space measures are mutually singular. Wemake use of a corresponding family of representations of the canonicalcommutation relations (CCR) in an infinite number of degrees of freedom.  A key feature of our construction is explicit formulas for associatedtransforms; these are infinite-dimensional analogues of Fourier transforms. Ourframework is that of Gaussian Hilbert spaces, reproducing kernel Hilbertspaces, and Fock spaces. The latter forms the setting for our CCRrepresentations. We further show, with the use of representation theory, andinfinite-dimensional analysis, that our pairwise inequivalent probabilityspaces (for the Gaussian processes) correspond in an explicit manner topairwise disjoint CCR representations.

White Noise Space Analysis and Multiplicative Change of Measures