White noise space analysis and multiplicative change of measures

  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},
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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