Riemannian analogue of a Paley-Zygmund theorem

Nikolay Tzvetkov[1]

  • [1] U.M.R. CNRS 8524 U.F.R. de Mathématiques 59 655 Villeneuve d’Ascq Cedex

Séminaire Équations aux dérivées partielles (2008-2009)

  • Volume: 2008-2009, page 1-14

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Tzvetkov, Nikolay. "Riemannian analogue of a Paley-Zygmund theorem." Séminaire Équations aux dérivées partielles 2008-2009 (2008-2009): 1-14. <http://eudml.org/doc/11189>.

@article{Tzvetkov2008-2009,
affiliation = {U.M.R. CNRS 8524 U.F.R. de Mathématiques 59 655 Villeneuve d’Ascq Cedex},
author = {Tzvetkov, Nikolay},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Paley-Zygmund theorem; Sobolev embeddings; Riemannian manifolds; random series},
language = {eng},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Riemannian analogue of a Paley-Zygmund theorem},
url = {http://eudml.org/doc/11189},
volume = {2008-2009},
year = {2008-2009},
}

TY - JOUR
AU - Tzvetkov, Nikolay
TI - Riemannian analogue of a Paley-Zygmund theorem
JO - Séminaire Équations aux dérivées partielles
PY - 2008-2009
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2008-2009
SP - 1
EP - 14
LA - eng
KW - Paley-Zygmund theorem; Sobolev embeddings; Riemannian manifolds; random series
UR - http://eudml.org/doc/11189
ER -

References

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  1. A. Ayache, N. Tzvetkov, L p properties for Gaussian random series, Trans. AMS 360 (2008) 4425-4439. Zbl1145.60019MR2395179
  2. N. Burq, N. Tzvetkov, Random data Cauchy theory for supercritical wave equations I, II, Inventiones Math. 173 (2008) 449-496 . Zbl1156.35062MR2425133
  3. S. Grivaux, N. Tzvetkov, A Riemannian Paley-Zygmund theorem, in preparation. 
  4. D. Li, H. Queffélec, Introduction à l’étude des espaces de Banach, Cours Spécialisés, 12. Société Mathématique de France, Paris, 2004. Zbl1078.46001MR2124356
  5. M. Marcus, G. Pisier, Random Fourier series with applications to harmonic analysis, Annals Math. Stud. 101 (1981). Zbl0474.43004MR630532
  6. E. A. C. R. Paley, A. Zygmund, On some series of functions (1) (2) (3), Proc. Camb. Philos. Soc. 26 (1930) 337-357, 458-474, 28 (1932) 190-205. Zbl0006.19802
  7. C. Sogge, Concerning the L p norm of spectral clusters for second order elliptic operators on compact manifolds , J. Funct. Anal. 77 (1988), 123-138. Zbl0641.46011MR930395
  8. C. Sogge. Fourier integrals in classical analysis, Cambridge tracts in Mathematics, 1993. Zbl0783.35001MR1205579

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