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

Youssfi, El Hassan

Publications du Département de mathématiques (Lyon), Mesures de Levy et fonctions de Levy générales - Applications à la décomposition de Levy-Khintchine, no. 3D (1986), pp. 1-81

[1] C. Berg, On the relation between gaussian measures and convolution semi-groups of local type, Math. Scand., 37, 183-192 (1975). | Zbl | MR

[2] C. Berg, On the support of the measures in a symétrie convolution semi-group, Math. Z. 148, 141-146 (1976). | Zbl | MR

[3] C. Berg, Hunt convolution kernels which are continuous singular with respect to Haar measure, Lecture Notes in Math. 706, Springer-Verlag, Berlin (1978). | Zbl | MR

[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). | Zbl | MR

[5] C. Berg, Semi-groupes de moments, Math. Scand. 54, 177-182 (1984). | Zbl | MR

[6] C. Berg et G. Forst, Potential theory on locally compact abelian groups, Berlin-Heidelberg-New-York, Springer Verlag (1975). | Zbl | MR

[7] C. Berg et P.H. Maserick, Exponentially bounded positive definite functions, Illinois 3. Math. 28, 162-179 (1982). | Zbl | MR

[8] C. Berg, J.P.R. Christensen et P. Ressel, Positive definite functions on abelian semi-groups, Math. Ann. 223, 253-272 (1976). | Zbl | MR

[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). | Zbl | MR

[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). | Zbl | MR

[11] H. Buchwalter, Semi-groupes de moments sur un convexe compact de ${ℝ}^P$, Math. Scand. 157-169 (1984). | Zbl | MR

[12] H. Buchwalter, Formes quadratiques sur un semi-groupe involutif, Math. Ann. 271, 619-639 (1985). | Zbl | MR

[13] H. Buchwalter, Semi-groupes de moments sur ${ℝ}^P$ et ${ℂ}^P$, Arkiv för Math. 23-2, 203-215 (1985). | Zbl | MR

[14] H. Buchwalter, Semi-groupes de moments complexes, Amer. J. Math., à paraître. | Zbl | MR

[15] H. Buchwalter, Les fonctions de Lévy existent !, Math. Ann., 274, 31-34 (1986). | Zbl | MR

[16] H. Buchwalter et G. Cassier, Semi-groupes dans le problème des moments, C.R. Acad. Sc. Paris, série I, 296, 389-391 (1983). | Zbl | MR

[17] G. Gassier, Problème des moments n -dimensionnel, mesures quasi-spectrales et semi-groupes, Thèse de 3e cycle, Lyon I, 1-18 (1983). | Zbl | Numdam

[18] G. Choquet, Le problème des moments, Séminaire d'initiation à l'analyse, 1ère année. Inst. Henri Poincaré, Paris (1962).

[19] J.P.R. Christensen et P. Ressel, A probabilistic characterization of negative definite and completely alternating functions, Z. Wahrsch. Verw. Gebiete 57, 407-417 (1981). | Zbl | MR

[20] A. Devinatz, The representation of functions as Laplace-Stieltjes integrals, Duke Math. J. 22, 185-192 (1955). | Zbl | MR

[21] K. Donner, Integral representations by non-finite Radon measure and measure of finite variation, Math. Ann. 224, 1-20 (1976). | Zbl | MR

[22] G. Forst, Convolution semi-groups of local type, Math. Scand. 34, 211-218 (1974). | Zbl | MR

[23] G. Forst, The Lévy-Khinčin representation of negative definite functions, Z. Wahrsch. Verw. Gebiete, 34, 313-318 (1976). | Zbl | MR

[24] K. Harzallah, Sur une démonstration de la formule de Lévy-Khintchine, Ann. Inst. Fourier, 19-2, 527-532 (1969). | Zbl | MR | Numdam

[25] P.H. Maserick, A Lévy-Khintchine formula for semi-groups with involutions, Math. Ann. 236, 209-216 (1978). | Zbl | MR

[26] W. Mlak, Conditionally positive definite functions on linear spaces, Ann. Polonici, Math. XLII, 187-239, (1983). | Zbl | MR

[27] K.R. Parthasarathy, Probability measures on metric spaces, Acad . Press, New-York (1967). | Zbl | MR

[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). | Zbl | MR

[29]W. Rudin, Fourier analysis on groups, Wiley (Interscience), New-York (1962). | Zbl | MR

[30] L. Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of fundamental research, Oxford University Press (1973). | Zbl | MR

[31] K. Urbanik, Gaussian measures on locally compact abelian groups, Studia Math. 19, 77-88 (1960). | Zbl | MR

[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). | Zbl | MR

[33] A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris (1940). | Zbl | JFM