Characterization of the second order random fields subject to linear distributional PDE constraints

Author:

Henderson Iain1,Noble Pascal1,Roustant Olivier1

Affiliation:

1. Institut de Mathématiques de Toulouse, UMR 5219, Université de Toulouse, CNRS, INSA, F-31077 Toulouse, France

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference56 articles.

1. Rudin, W. (1991). Functional Analysis, 2nd ed. International Series in Pure and Applied Mathematics. New York: McGraw-Hill, Inc.

2. Janson, S. (1997). Gaussian Hilbert Spaces. Cambridge Tracts in Mathematics 129. Cambridge: Cambridge Univ. Press. 10.1017/CBO9780511526169

3. Trèves, F. (1967). Topological Vector Spaces, Distributions and Kernels. New York: Academic Press.

4. Azaïs, J.-M. and Wschebor, M. (2009). Level Sets and Extrema of Random Processes and Fields. Hoboken, NJ: Wiley. 10.1002/9780470434642

5. Scheuerer, M. (2010). Regularity of the sample paths of a general second order random field. Stochastic Process. Appl. 120 1879–1897. 10.1016/j.spa.2010.05.009

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