# Stochastic Processes Induced by Singular Operators

@article{Alpay2011StochasticPI, title={Stochastic Processes Induced by Singular Operators}, author={Daniel Alpay and Palle E. T. Jorgensen}, journal={Numerical Functional Analysis and Optimization}, year={2011}, volume={33}, pages={708 - 735} }

In this article, we study a general family of multivariable Gaussian stochastic processes. Each process is prescribed by a fixed Borel measure σ on ℝ n . The case when σ is assumed absolutely continuous with respect to Lebesgue measure was studied earlier in the literature, when n = 1. Our focus here is on showing how different equivalence classes (defined from relative absolute continuity for pairs of measures) translate into concrete spectral decompositions of the corresponding stochastic…

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