# White noise space analysis and multiplicative change of measures

@article{Alpay2022WhiteNS, title={White noise space analysis and multiplicative change of measures}, author={Daniel Alpay and Palle E. T. Jorgensen and Motke Porat}, journal={Journal of Mathematical Physics}, year={2022} }

In this paper, we display a family of Gaussian processes, with explicit formulas and transforms. This is presented with the use of duality tools in such a way that the corresponding path-space measures are mutually singular. We make use of a corresponding family of representations of the canonical commutation relations (CCR) in an infinite number of degrees of freedom. A key feature of our construction is explicit formulas for associated transforms; these are infinite-dimensional analogs of…

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