R. Narasimha, S. Lee, W. Zhao, and R. M. Rao, Discrete-time models for statistically self-similar signals, IEEE Trans. Signal Processing, vol.51, issue.5, pp.1221-1230, 2003.

W. Leland, M. Taqqu, W. Willinger, and D. Wilson, On the selfsimilar nature of Ethernet traffic (extended version), IEEE/ACM Trans. Networking, pp.1-15, 1994.

B. B. Mandelbrot and J. W. Van-ness, Fractional Brownian Motions, Fractional Noises and Applications, SIAM Review, vol.10, issue.4, pp.422-437, 1968.
DOI : 10.1137/1010093

M. Mboup, On the Structure of Self-similar Systems: A Hilbert Space Approach, Operator Theory: Advances and applications OT- 143, pp.273-302, 2003.
DOI : 10.1007/978-3-0348-8077-0_9

B. Yaz?c? and R. L. Kashyap, A class of second-order stationary self-similar processes for 1/f phenomena, IEEE Transactions on Signal Processing, vol.45, issue.2, pp.396-410, 1997.
DOI : 10.1109/78.554304

C. J. Nuzman, H. Vincent, and . Poor, Reproducing Kernel Hilbert Space Methods for wide-sense self-similar Processes, The Annals of Applied Probability, vol.11, issue.4, pp.1199-1219, 2001.
DOI : 10.1214/aoap/1015345400

M. Mboup, A character-automorphic hardy spaces approach to discrete-time scale-invariant systems, MTNS'06, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00120157

D. Alpay and M. Mboup, A Characterization of Schur Multipliers Between Character-Automorphic Hardy Spaces, Integral Equations and Operator Theory, vol.62, issue.4, pp.455-463, 2008.
DOI : 10.1007/s00020-008-1635-0
URL : https://hal.archives-ouvertes.fr/inria-00259916

L. R. Ford, Automorphic functions, 1951.

D. Alpay, Algorithme de Schur, espacesàespaces`espacesà noyau reproduisant et théorie des systèmes, of Panoramas et Synthèses, Société mathématique de France, 1998.

M. V. Samokhin, SOME CLASSICAL PROBLEMS IN THE THEORY OF ANALYTIC FUNCTIONS IN DOMAINS OF PARREAU-WIDOM TYPE, Mathematics of the USSR-Sbornik, vol.73, issue.1, pp.273-288, 1992.
DOI : 10.1070/SM1992v073n01ABEH002545

S. Kupin and P. Yuditskii, Analogs of the Nehari and Sarason theorems for character-automorphic functions and some related questions, Operator Theory: Advances and Applications, pp.373-390
DOI : 10.1007/978-3-0348-8944-5_17

D. Alpay and H. Dym, On Reproducing Kernel Spaces, The Schur Algorithm, and Interpolation in a General Class of Domains, Operator theory and complex analysis, pp.30-77, 1991.
DOI : 10.1007/978-3-0348-8606-2_3

D. Alpay and H. Dym, On a New Class of Structured Reproducing Kernel Spaces, Journal of Functional Analysis, vol.111, issue.1, pp.1-28, 1993.
DOI : 10.1006/jfan.1993.1001

P. D. Lax and R. S. Phillips, Scattering theory, Pure and Applied Mathematics, vol.26, 1989.

L. De-branges and J. Rovnyak, Square summable power series, 1966.

M. Rosenblum, A corona theorem for countably many functions, Integral Equations and Operator Theory, vol.2, issue.1, pp.125-137, 1980.
DOI : 10.1007/BF01682874

M. Rosenblum and J. Rovnyak, Hardy classes and operator theory, 1997.

M. B. Abrahamse, The Pick interpolation theorem for finitely connected domains., The Michigan Mathematical Journal, vol.26, issue.2, pp.195-203, 1979.
DOI : 10.1307/mmj/1029002212