. De, 3.1), on déduit D l f (z n + cal), D l f (z + cal) > 0, c'estàest`està dire f ? ?n (c)
URL : https://hal.archives-ouvertes.fr/in2p3-00017385

. Bibliographie, Astrauskas, Limit theorems for quadratic forms of linear processes, Lith. Math. J, vol.23, pp.355-361, 1983.

P. Billingsley, Convergence of probability measures, 1968.
DOI : 10.1002/9780470316962

J. Breton, Int??grales stables multiples : repr??sentation, absolue continuit?? de leur loi, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.331, issue.9, pp.717-720, 2000.
DOI : 10.1016/S0764-4442(00)01713-4

J. Breton and Y. A. Davydov, Principe local d'invariance pour des variables al??atoires i.i.d., Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.333, issue.7, pp.673-676, 2001.
DOI : 10.1016/S0764-4442(01)02112-7

J. Breton, Absolue continuit?? des lois jointes des int??grales stables multiples, Comptes Rendus Mathematique, vol.334, issue.2, 2002.
DOI : 10.1016/S1631-073X(02)02243-4

Y. A. Davydov, The invariance principle for stationary processes, Theory Probab, Appl, vol.15, pp.487-498, 1970.

Y. A. Davydov, On the absolute continuity of distributions of functionals of random processes, Theory Probab, Appl, vol.23, pp.218-219, 1978.

Y. A. Davydov, On strong convergence of distributions of functionals of random processes I , II, Theory Probab, Appl, vol.25, issue.26, pp.772-789, 1980.

Y. A. Davydov and M. A. Lifshits, Fibering method in some probabilistic problems, Journal of Soviet Mathematics, vol.36, issue.No. 3, pp.2796-2858, 1985.
DOI : 10.1007/BF02116602

Y. A. Davydov, Absolute continuity of the images of measures, Journal of Soviet Mathematics, vol.104, issue.No. 6, pp.468-473, 1987.
DOI : 10.1007/BF01663455

Y. A. Davydov, On distributions of multiple Wiener-Itô integrals, Theory Probab, Appl, vol.35, issue.1, pp.27-37, 1991.

Y. A. Davydov, On convergence in variation of one-dimensional image measures, Journal of Mathematical Sciences, vol.1, issue.No. 4, pp.1903-1909, 1995.
DOI : 10.1007/BF02365081

Y. A. Davydov, M. A. Lifshits, and N. V. Smorodina, Local properties of distributions of stochastic functionals, 1998.

P. Doukhan, Mixing : properties and examples, Lect, Notes in Stat, issue.85, 1994.

P. Doukhan, P. Massart, and E. Rio, The functional central limit theorem for strongly mixing processes, Ann. Inst. Henri Poincaré, vol.30, issue.1, pp.63-82, 1994.

D. D. Engel, The multiple stochastic integral, Mem. Amer, Math. Soc, issue.28, 1982.

W. Feller, An introduction to probability theory and its applications, volume II, 1965.

H. Federer, Geometric measure theory, 1978.
DOI : 10.1007/978-3-642-62010-2

T. Ferguson and M. , A Representation of Independent Increment Processes without Gaussian Components, The Annals of Mathematical Statistics, vol.43, issue.5, pp.1634-1643, 1972.
DOI : 10.1214/aoms/1177692395

I. Karatzas and S. E. Shreve, Brownian motion and stochastic calculus, 1988.

W. Krakowiak and J. Szulga, Random Multilinear Forms, The Annals of Probability, vol.14, issue.3, pp.957-973, 1986.
DOI : 10.1214/aop/1176992450

URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176992450

W. Krakowiak and J. Szulga, A multiple stochastic integral with respect to a pstrictly stable random measure, pp.764-777, 1988.

S. Kusuoka, On the absolute continuity of the law of a system of multiple Wiener- Itô integrals, J. Fac. Sci. Univ. Tokyo, Sect. IA, Math, vol.30, pp.191-197, 1983.

S. Kwapie´nkwapie´n and W. A. Woyczy´nskiwoyczy´nski, Double Stochastic Integrals, Random Quadratic Forms and Random Series in Orlicz Spaces, The Annals of Probability, vol.15, issue.3, pp.1072-1096, 1987.
DOI : 10.1214/aop/1176992082

R. Lepage, M. Woodroofe, and J. Zinn, Convergence to a Stable Distribution Via Order Statistics, The Annals of Probability, vol.9, issue.4, pp.624-632, 1981.
DOI : 10.1214/aop/1176994367

M. A. Lifshits, The fiber method and its application to the study of functionals of stochastic processes, Theory Probab, Appl, vol.27, issue.1, pp.69-83, 1982.

M. A. Lifshits, An application of the stratification method to the study of functionals of processes with independent increments, Theory Probab, Appl, vol.29, issue.4, pp.753-765, 1984.

M. A. Lifshits, Stratification method for processes with independent increments, Journal of Soviet Mathematics, vol.1, issue.No. 1, pp.3241-3251, 1984.
DOI : 10.1007/BF01850672

T. F. Lin, Multiple Integrals of a Homogeneous Process with Independent Increments, The Annals of Probability, vol.9, issue.3, pp.529-532, 1981.
DOI : 10.1214/aop/1176994427

M. B. Marcus and G. Pisier, Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes, Acta Mathematica, vol.152, issue.0, pp.245-301, 1984.
DOI : 10.1007/BF02392199

P. Major, Multiple Wiener-Itô integrals, Lect. Notes in Maths, issue.849, 1981.
DOI : 10.1007/bfb0094036

T. R. Mcconnell, On the triple integration with respect to stable measure, 1986.

F. Merlevède and M. Peligrad, The functional central limit theorem under the strong mixing conditions, Ann. Probab, vol.28, issue.3, pp.1336-1352, 2000.

C. Noquet, Principe d'invariance local pour les cha??nescha??nes de Markov, Thèse de Doctorat Université Lille 1, 1997.

E. Nowak, Mesures translatées et distance en variation applicationàapplication`applicationà l'absolue continuité etàet`età un principe d'invariance local pour des champs aléatoires gibbsiens, Thèse de Doctorat Université Lille 1, 1998. [36] H. Oodaira, K. Yoshihara, Functional central limit theorems for strictly stationary processes satisfying the strong mixing conditions, Kodai Math. Sem. Rep, vol.24, pp.259-269, 1972.

J. Rosi´nskirosi´nski and W. A. Woyczy´nskiwoyczy´nski, Products of random measures, multilinear random forms and multiple stochastic integrals, Proc. Measure Theory Conference, pp.294-315, 1983.

J. Rosi´nskirosi´nski and W. A. Woyczy´nskiwoyczy´nski, On Itô stochastic integration with respect to stable motion : inner clock, integrability of sample paths, double and multiple integrals, pp.271-286, 1986.

J. Rosi´nskirosi´nski, G. Samorodnitsky, and M. S. Taqqu, Sample path properties of stochastic processes represented as multiple stable integrals, Journal of Multivariate Analysis, vol.37, issue.1, pp.115-134, 1991.
DOI : 10.1016/0047-259X(91)90115-I

J. Rosi´nskirosi´nski and J. Szulga, Product random measures and double stochastic integrals, Martingale Theory in Harmonic Analysis and Banach Spaces, Lect. Notes in Math, issue.939, pp.181-198, 1982.

W. Rudin, Real and complex analysis, 1966.

G. Samorodnitsky and J. Szulga, An Asymptotic Evaluation of the Tail of a Multiple Symmetric $\alpha$- Stable Integral, The Annals of Probability, vol.17, issue.4, pp.1503-1520, 1989.
DOI : 10.1214/aop/1176991170

G. Samorodnitsky and M. S. Taqqu, Multiple stable integrals of Banach-valued functions, Journal of Theoretical Probability, vol.2, issue.2, pp.267-287, 1990.
DOI : 10.1007/BF01045162

G. Samorodnitsky and M. S. Taqqu, Construction of multiple stable integrals using LePage representation in Stable processes and related topics, Birkhäuser, 1991.

G. Samorodnitsky and M. S. Taqqu, Stable non-Gaussian random processes, 1994.

I. Shigekawa, Derivatives of Wiener functionals and absolute continuity of induced measures, Journal of Mathematics of Kyoto University, vol.20, issue.2, pp.263-289, 1980.
DOI : 10.1215/kjm/1250522278

E. Stein, Singular integrals and differentiability properties of functions, 1970.

D. Surgailis, On L2 and non-L2 multiple stochastic integration, Lect. Notes in Control and Info. Sci, vol.36, pp.212-226, 1981.
DOI : 10.1007/BFb0006424

D. Surgailis, On multiple Poisson stochastic integrals and associated Markov semigroups, Probab. Math. Statist, vol.3, pp.217-339, 1984.
DOI : 10.1007/bfb0044696

D. Surgailis, On the multiple stable integral, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.13, issue.4, pp.621-632, 1985.
DOI : 10.1007/BF00531871