Keywords
- Quadratic Form
- Gaussian Process
- Uniform Convergence
- Entropy Condition
- Independent Copy
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References
A. Bonami: Etude des coefficients de Fourier des fonctions de LP(G). Ann. Inst. Fourier (Grenoble) 20, p. 335–402 (1970).
C. Borell: Tail probabilities in Gauss space. Vector space measures and applications, Dublin 1978. Lecture Notes in Math. 644, p. 71–82, Springer (1979).
C. Borell: On the integrability of Banach space valued Walsh polynomials. Séminaire de Probabilités XIII. Lecture Notes in Math. 721, p. 1–3, Springer (1979).
C. Borell: On polynomials chaos and integrability. Prob. and Math. Stat. 3, p. 191–203 (1984).
X. Fernique: Régularité de fonctions aléatoires non gaussiennes. Ecole d'été de St-Flour 1981. Lecture Notes in Math. 976, p. 1–74, Springer (1983).
X. Fernique: Fonctions aléatoires gaussiennes à valeurs vectorielles. Preprint (1985).
S. Kwapien: Decoupling inequalities for polynomial chaos. Preprint (1985).
M.B. Marcus and G. Pisier: Random Fourier series with applications to harmonic analysis. Ann. Math. Studies 101, Princeton Univ. Press (1981).
G. Pisier: Les inégalités de Khintchine-Kahane d'après C. Borell. Séminaire sur la géométrie des espaces de Banach 1977–78, Ecole Polytechnique, Paris (1978).
G. Pisier: Sur l'espace de Banach des séries de Fourier aléatoires presque sûrement continues. Séminaire sur la géométrie des espaces de Banach 1977–78, Ecole Polytechnique, Paris (1978).
G. Pisier: Some applications of the metric entropy condition to harmonic analysis. Banach spaces, harmonic analysis and probability, Proceedings 1980–81. Lecture Notes in Math. 995, p. 123–154, Springer (1983).
M. Schreiber: Fermeture en probabilité des chaos de Wiener. C.R. Acad. Sci. Paris, Série A, 265, p. 859–862 (1967).
M. Talagrand: Régularité des processus gaussiens. C.R. Acad. Sci. Paris, Série I, 301, p. 379–381 (1985).
D. Varberg: Convergence of quadratic forms in independent random variables. Ann. Math. Statist. 37, p. 567–576 (1966).
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© 1986 Springer-Verlag
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Ledoux, M., Marcus, M.B. (1986). Some remarks on the uniform convergence of Gaussian and Rademacher Fourier quadratic forms. In: Fernique, X., Heinkel, B., Meyer, PA., Marcus, M.B. (eds) Geometrical and Statistical Aspects of Probability in Banach Spaces. Lecture Notes in Mathematics, vol 1193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077100
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DOI: https://doi.org/10.1007/BFb0077100
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