Mesures de Lévy et fonctions de Lévy générales Applications à la décomposition de Lévy-Khintchine

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1. [1] C. Berg, On the relation between gaussian measures and convolution semi-groups of local type, Math. Scand., 37, 183-192 (1975). Zbl0313.43001MR391212
2. [2] C. Berg, On the support of the measures in a symétrie convolution semi-group, Math. Z.148, 141-146 (1976). Zbl0309.60009MR402408
3. [3] C. Berg, Hunt convolution kernels which are continuous singular with respect to Haar measure, Lecture Notes in Math.706, Springer-Verlag, Berlin (1978). Zbl0402.60012MR536971
4. [4] C. Berg, Fonctions définies négatives et majoration de Schur, In "Colloque de théorie du potentiel Jacques Deny" Orsay 1983. Lecture Notes in Math. 1096, Berlin-Heidelberg-New-York, Springer Verlag (1984). Zbl0554.43002MR890354
5. [5] C. Berg, Semi-groupes de moments, Math. Scand.54, 177-182 (1984). Zbl0528.43004MR757460
6. [6] C. Berg et G. Forst, Potential theory on locally compact abelian groups, Berlin-Heidelberg-New-York, Springer Verlag (1975). Zbl0308.31001MR481057
7. [7] C. Berg et P.H. Maserick, Exponentially bounded positive definite functions, Illinois 3. Math.28, 162-179 (1982). Zbl0519.43005MR730718
8. [8] C. Berg, J.P.R. Christensen et P. Ressel, Positive definite functions on abelian semi-groups, Math. Ann.223, 253-272 (1976). Zbl0331.43010MR420150
9. [9] C. Berg, J.P.R. Christensen et P. Ressel, Harmonics analysis on semi-groups, Graduate texts in Math., Vol. 100, Springer Verlag, Berlin-Heidelberg-New-York (1984). Zbl0619.43001MR747302
10. [10] P.J. Bickel et W.R. Van Zwet, On a theorem of Hoeffding. In Asymptotic theory of statistical tests and estimation, (ed. by I.M. Chakrararti) 307-324, New-York Academic Press (1980). Zbl0602.60026MR571346
11. [11] H. Buchwalter, Semi-groupes de moments sur un convexe compact de ${ℝ}^P$, Math. Scand.157-169 (1984). Zbl0555.43009MR753072
12. [12] H. Buchwalter, Formes quadratiques sur un semi-groupe involutif, Math. Ann.271, 619-639 (1985). Zbl0547.39002MR790118
13. [13] H. Buchwalter, Semi-groupes de moments sur ${ℝ}^P$ et ${ℂ}^P$, Arkiv för Math.23-2, 203-215 (1985). Zbl0595.44008MR827343
14. [14] H. Buchwalter, Semi-groupes de moments complexes, Amer. J. Math., à paraître. Zbl0628.43005MR859771
15. [15] H. Buchwalter, Les fonctions de Lévy existent !, Math. Ann., 274, 31-34 (1986). Zbl0572.43003MR834104
16. [16] H. Buchwalter et G. Cassier, Semi-groupes dans le problème des moments, C.R. Acad. Sc.Paris, série I, 296, 389-391 (1983). Zbl0523.44008MR703904
17. [17] G. Gassier, Problème des moments n -dimensionnel, mesures quasi-spectrales et semi-groupes, Thèse de 3e cycle, Lyon I, 1-18 (1983). Zbl0521.28007
18. [18] G. Choquet, Le problème des moments, Séminaire d'initiation à l'analyse, 1ère année. Inst. Henri Poincaré, Paris (1962). 
19. [19] J.P.R. Christensen et P. Ressel, A probabilistic characterization of negative definite and completely alternating functions, Z. Wahrsch. Verw. Gebiete57, 407-417 (1981). Zbl0474.60016MR629534
20. [20] A. Devinatz, The representation of functions as Laplace-Stieltjes integrals, Duke Math. J.22, 185-192 (1955). Zbl0067.33802MR69928
21. [21] K. Donner, Integral representations by non-finite Radon measure and measure of finite variation, Math. Ann.224, 1-20 (1976). Zbl0318.28002MR425576
22. [22] G. Forst, Convolution semi-groups of local type, Math. Scand.34, 211-218 (1974). Zbl0291.43005MR355085
23. [23] G. Forst, The Lévy-Khinčin representation of negative definite functions, Z. Wahrsch. Verw. Gebiete, 34, 313-318 (1976). Zbl0312.60009MR420769
24. [24] K. Harzallah, Sur une démonstration de la formule de Lévy-Khintchine, Ann. Inst. Fourier, 19-2, 527-532 (1969). Zbl0189.44803MR268598
25. [25] P.H. Maserick, A Lévy-Khintchine formula for semi-groups with involutions, Math. Ann.236, 209-216 (1978). Zbl0385.31009MR493178
26. [26] W. Mlak, Conditionally positive definite functions on linear spaces, Ann. Polonici, Math.XLII, 187-239, (1983). Zbl0546.47005MR728082
27. [27] K.R. Parthasarathy, Probability measures on metric spaces, Acad . Press, New-York (1967). Zbl0153.19101MR226684
28. [28] K.R. Parthasarathy, R.R. Rao, S.R.S. Varadhan, Probability distributions on locally compact abelian groups, Illinois J. Math.7, 337-369 (1963). Zbl0129.10902MR190968
29. [29] W. Rudin, Fourier analysis on groups, Wiley (Interscience), New-York (1962). Zbl0698.43001MR152834
30. [30] L. Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of fundamental research, Oxford University Press (1973). Zbl0298.28001MR426084
31. [31] K. Urbanik, Gaussian measures on locally compact abelian groups, Studia Math.19, 77-88 (1960). Zbl0099.01704MR112916
32. [32] S.R.S. Varadhan, Limit theorems for sums of indépendant random variables in a Hilbert space, Sankhy a Ser. A, 24, 213-238 (1962). Zbl0113.34101MR171305
33. [33] A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris (1940). Zbl0063.08195JFM66.1205.02