On some Hilbert spaces of entire functions;Sur certains espaces de Hilbert de fonctions entières, liés à la transformation de Fourier et aux fonctions L de Dirichlet et de Riemann

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 3, 2001, Pages 201-206

  Burnol, Jean François ^a  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010852818     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02036-5     Document Type: Article

References (16)

1. Báez-Duarte L. A class of invariant unitary operators. Adv. Math. 144:1999;1-12.
2. Báez-Duarte L., Balazard M., Landreau B., Saias E. Notes sur la fonction ζ de Riemann 3. Adv. Math. 149:2000;130-144.
3. Blake W., The explicit formula and a propagator, 21 p., http://fr.arXiv.org/abs/math/9809119.
4. Burnol J.-F. Scattering on the p -adic field and a trace formula. Int. Math. Res. Not. 2000:(2):2000;57-70.
5. Burnol J.-F. An adelic causality problem related to Abelian L -functions. J. Number Theory. 87:(2):2001;253-269.
6. Burnol J.-F., The explicit formula and the conductor operator, 28 p., http://fr.arXiv.org/abs/math/9902080.
7. Burnol J.-F. Sur les formules explicites I : analyse invariante. C. R. Acad. Sci. Paris, Série I. 331:2000;423-428.
8. Burnol J.-F. Quaternionic gamma functions and their logarithmic derivatives as spectral functions. Math. Res. Lett. 8:(1-2):2001;209-223.
9. Burnol J.-F., A note on Nyman's equivalent formulation for the Riemann hypothesis, Contemp. Math. Ser., à paraître.
10. Burnol J.-F., A lower bound in an approximation problem involving the zeros of the Riemann zeta function, 17 p., mars 2001, soumis, http://fr.arXiv.org/abs/math/0103058.
11. Connes A. Formule de trace en géométrie non-commutative et hypothèse de Riemann. C. R. Acad. Sci. Paris, Série I. 323:1996;1231-1236.
12. Connes A. Trace formula in non-commutative geometry and the zeros of the Riemann zeta function. Selecta Math. (N.S.). 5:(1):1999;29-106.
13. De Branges L. Espaces Hilbertiens de fonctions entières, Masson et Cie. 1972;Paris. (trad. de Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs, 1968).
14. De Branges L. A conjecture which implies the Riemann hypothesis. J. Funct. Anal. 121:(1):1994;117-184.
15. Dym H., McKean H.P. Fourier Series and Integrals. 1972;Academic Press.
16. Wilson K.G. The renormalization group and critical phenomena. Rev. Mod. Phys. 55:1983;583-600.