Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Bennett. Intermediate spaces and the class L log+ L. Arkiv för Matematik 11 (1973) 215–228.
J. Bergh, J. Löfström. Interpolation spaces. Springer Verlag, Berlin, Heidelberg, New York (1976).
R. M. Dudley. The size of compact subsets of Hilbert space and continuity of Gaussian processes. Journal of Funct. Analysis 1 (1967) 290–330.
X. Fernique. Régularité des trajectoires des processus gaussiens. Ecole d’Ete de ST Flour. Springer Lecture Notes no480.
A. Garsia. A remarkable inequality and the uniform convergence of Fourier series. Indiana Univ. Math Journal 25 (1976) 85–102.
N. Kôno. Sample paths properties of stochastic processes. J. Math Kyoto Univ. 20 (1980) 295–313.
M. B. Marcus and G. Pisier. Random Fourier series with Applications to Harmonic Analysis. Annals of Math Studies. no101 (1981) Princeton University Press.
G. Pisier. Sur l’espace des series de Fourier aléatoires presque sûrement continues. Exposé no 17–18, Seminaire sur la géométrie des espaces de Banach. Ecole Polytechnique, Palaiseau, 1977/78.
G. Pisier. A remarkable homogeneous Banach algebra. Israel J. Math 34 (1979) 38–44.
G. Pisier. Conditions d’entropie assurant la continuité de certains processus et applications a l’analyse harmonique. Seminaire d’analyse fonctionnelle. Expose no13–14. Ecole Polytechnique, Palaiseau, 1979/80.
G. Pisier. De nouvelles caractérisations des ensembles de Sidon. Advances in Maths. Supplementary Studies. (1981) Vol. 7B, p. 685.
J. H. Wells, L. R. Williams. Embeddings and extensions in analysis, Springer Verlag (1975), Ergebnisse Band 84.
M. Zafran. The dichotomy problem for homogeneous Banach algebras. Annals of Maths. 108 (1978) 97–105.
M. B. Marcus and G. Pisier. Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. To appear.
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Pisier, G. (1983). Some applications of the metric entropy condition to harmonic analysis. In: Blei, R.C., Sidney, S.J. (eds) Banach Spaces, Harmonic Analysis, and Probability Theory. Lecture Notes in Mathematics, vol 995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061891
Download citation
DOI: https://doi.org/10.1007/BFb0061891
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12314-9
Online ISBN: 978-3-540-40036-3
eBook Packages: Springer Book Archive