@article{AIHPB_1999__35_4_531_0, author = {Gradinaru, Mihai and Roynette, Bernard and Vallois, Pierre and Yor, Marc}, title = {Abel transform and integrals of {Bessel} local times}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {531--572}, publisher = {Gauthier-Villars}, volume = {35}, number = {4}, year = {1999}, mrnumber = {1702241}, zbl = {0937.60080}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1999__35_4_531_0/} }
TY - JOUR AU - Gradinaru, Mihai AU - Roynette, Bernard AU - Vallois, Pierre AU - Yor, Marc TI - Abel transform and integrals of Bessel local times JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1999 SP - 531 EP - 572 VL - 35 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1999__35_4_531_0/ LA - en ID - AIHPB_1999__35_4_531_0 ER -
%0 Journal Article %A Gradinaru, Mihai %A Roynette, Bernard %A Vallois, Pierre %A Yor, Marc %T Abel transform and integrals of Bessel local times %J Annales de l'I.H.P. Probabilités et statistiques %D 1999 %P 531-572 %V 35 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1999__35_4_531_0/ %G en %F AIHPB_1999__35_4_531_0
Gradinaru, Mihai; Roynette, Bernard; Vallois, Pierre; Yor, Marc. Abel transform and integrals of Bessel local times. Annales de l'I.H.P. Probabilités et statistiques, Volume 35 (1999) no. 4, pp. 531-572. http://archive.numdam.org/item/AIHPB_1999__35_4_531_0/
[1] Quelques applications de la théorie générale des processus, Invent. Math. 18 (1972) 293-336. | MR | Zbl
,[2] Une solution simple au problème de Skorokhod, in: C. Dellacherie, P.A. Meyer and M. Weil, eds., Sém. Probab. XIII, Lect. Notes Math., Vol. 721, Berlin, Springer, 1979, pp. 90-115 and 625-633. | Numdam | MR | Zbl
and ,[3] Symmetry characterizations of certain distributions 1, Math. Proc. Camb. Phil. Soc. 111 (1992) 387-399. | MR | Zbl
and ,[4] Symmetry characterizations of certain distributions 2, Math. Proc. Camb. Phil. Soc. 112 (1992) 599-611. | MR | Zbl
and ,[5] Some independence results related to the arcsine law, J. Theor. Probab. 9 (1996) 447-458. | MR | Zbl
and ,[6] Handbook of Brownian Motion: Facts and Formulae, Birlehäuser, Berlin, 1996. | MR | Zbl
and ,[7] On occupation times for Markov processes, Trans. Amer. Math. Soc. 84 (1957) 444-458. | MR | Zbl
and ,[8] The Brownian escape process, Ann. Probab. 7 (1979) 864-867. | MR | Zbl
,[9] Abel Integral Equations: Analysis and Applications, Lect. Notes Math., Vol. 1461, Springer, Berlin, 1991. | MR | Zbl
and ,[10] The laws of Brownian local time integrals, Prépublication No. 38-1997, Institut Élie Cartan, Université Henri Poincaré (Vandœuvre-lès-Nancy, France); to appear in Computational and Applied Mathematics, Birkhäuser, Boston, 1999. | MR | Zbl
, , and ,[11] Diffusion Processes and Their Sample Paths, Springer, Berlin, 1965. | Zbl
and ,[12] Semi-martingales et Grossissement d'une Filtration, Lect. Notes Math., Vol. 833, Springer, Berlin, 1980. | MR | Zbl
,[13] Some probabilistic properties of Bessel functions, Ann. Probab. 6 (1978) 760-770. | MR | Zbl
,[14] Symmetric stable processes as traces of degenerate diffusion processes, Theoty Probab. Appl. 14 (1969) 128-131. | MR | Zbl
and ,[15] Bessel processes and infinitely divisible laws, in: D. Williams, ed., Stochastic Integrals, Lect. Notes Math., Vol. 851, Springer, Berlin, 1981, pp. 285-370. | MR | Zbl
and ,[16] Local times and almost sure convergence of semimartingales, Ann. Inst. Henri Poincaré 31 (1995) 653-667. | Numdam | MR | Zbl
and ,[17] Continuous Martingales and Brownian Motion, 2nd Ed., Springer, Berlin, 1994. | MR | Zbl
and ,[18] Some transformations of diffusions by time reversal, Ann. Probab. 8 (1980) 1157-1162. | MR | Zbl
,[19] Computations of moments for discounted Brownian additive functionals, J. Math. Kyoto 38 (3) (1998) 475-486. | MR | Zbl
and ,[20] Some Aspects of Brownian Motion I: Some Special Functionals, Birkhäuser, Basel, 1992. | MR | Zbl
,[21] Local Times and Excursions for Brownian Motion: A Concise Introduction, Caracas-Paris, 1996.
,[22] Some Aspects of Brownian Motion II: Some Recent Martingale Problems, Birkhäuser, Berlin, 1997. | MR | Zbl
,[23] On certain discounted arcsine laws, Stochastic Process. Appl. 71 (1997) 111-122. | MR | Zbl
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