, Volume 87, Issue 2, pp 167-188

Linear Fourier and stochastic analysis

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


To extend the traditional Fourier theory of stationary processes, some new boundedness notions, for processes and for random measures, are introduced. This leads, for these processes and measures, to Plancherel and Hausdorff-Young type formulae and to a decomposition theory via dilations and multiplications. Various applications of our methods are also presented.