C. Berg, J. P. Christensen, and P. Ressel, Harmonic analysis on semigroups, volume 100 of Graduate Texts in Mathematics, Theory of positive definite and related functions, 1984.

P. Boulicaut, Convergence cylindrique et convergence ??troite d'une suite de probabilit??s de Radon, Zeitschrift f??r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.55, issue.97, pp.43-52, 1973.
DOI : 10.5802/aif.249

R. L. Dobru?in and R. A. Minlos, A study of the properties of generalized Gaussian random fields, Problems in mechanics and mathematical physics (Russian), pp.117-165, 1976.

J. Fageot, A. Amini, and M. Unser, On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling, Journal of Fourier Analysis and Applications, vol.60, issue.3, pp.1179-1211, 2014.
DOI : 10.1109/TIT.2014.2298453

J. Fageot, E. Bostan, and M. Unser, Wavelet Statistics of Sparse and Self-Similar Images, SIAM Journal on Imaging Sciences, vol.8, issue.4, pp.2951-2975, 2015.
DOI : 10.1137/151003015

X. Fernique, Généralisations du théorème de continuité de P. Lévy, C. R. Acad. Sci. Paris Sér. A-B, vol.266, pp.25-28, 1968.

I. M. Gel-fand, Generalized random processes, Dokl. Akad. Nauk SSSR (N.S.), vol.100, pp.853-856, 1955.
DOI : 10.1090/chel/380/03

I. M. Gel-fand and G. E. Shilov, Generalized functions Spaces of fundamental and generalized functions. Translated from the Russian by, 1968.

I. M. Gel-fand and N. Y. Vilenkin, Generalized functions Applications of harmonic analysis, 1964.

L. G. Gorostiza and D. Nualart, Nuclear Gelfand Triples on Wiener Space and Applications to Trajectorial Fluctuations of Particle Systems, Journal of Functional Analysis, vol.125, issue.1, pp.37-66, 1994.
DOI : 10.1006/jfan.1994.1116

R. A. Holley and D. W. Stroock, Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions, Publications of the Research Institute for Mathematical Sciences, vol.14, issue.3, pp.741-788, 1978.
DOI : 10.2977/prims/1195188837

K. Itô, Distribution-valued processes arising from independent Brownian motions, Mathematische Zeitschrift, vol.38, issue.1, pp.17-33, 1983.
DOI : 10.1007/BF01162590

O. Kallenberg, Foundations of modern probability. Probability and its Applications, 1997.
DOI : 10.1007/978-1-4757-4015-8

G. Kallianpur and J. Xiong, Stochastic differential equations in infinite-dimensional spaces, Institute of Mathematical Statistics Lecture Notes? Monograph Series, vol.26, 1995.

H. Kuo, White noise distribution theory. Probability and Stochastics Series, 1996.

P. Meyer, Le théorème de continuité de P. Lévy sur les espaces nucléaires (d'après X. Fernique), Séminaire Bourbaki, pp.509-522, 1995.

R. A. Minlos, Generalized random processes and their extension in measure, Trudy Moskov. Mat. Ob??, vol.8, pp.497-518, 1959.

E. Nelson, Quantum fields and Markoff fields, Partial differential equations (Proc. Sympos, pp.413-420, 1971.
DOI : 10.1090/pspum/023/0337206

M. Reed and B. Simon, Methods of modern mathematical physics. I, 1980.

F. Trèves, Topological vector spaces, distributions and kernels, 1967.