References
- Albeverio, S., Daletsky, Yu. L., Kondratiev, Yu. G., and Streit, L. 1996. Non-Gaussian infinite dimensional analysis. J. Funct. Anal. 138:311–350.
- Barhoumi, A., Ouerdiane, H., and Riahi, A. 2009. Pascal white noise calculus. Stochastics 81:323–343.
- Becnel, J. J. 2006. Equivalence of topologies and Borel fields for countably-Hilbert spaces. Proc. Amer. Math. Soc. 134:581–590.
- Di Nunno, G., Oksendal, B., and Proske, F. 2004. White noise analysis for Lévy processes. J. Funct. Anal. 206:109–148.
- Dudley, R. M. 1999. Uniform Central Limit Theorems. Cambridge, UK: Cambridge University Press.
- Émery, M. 2001. A Discrete Approach to the Chaotic Representation Property. Séminaire de Probabilités, XXXV. Lecture Notes in Mathematics 1755. Berlin: Springer, 123–138.
- Gel'fand, I. M., and Vilenkin, N. Ya. 1964. Generalized Functions Vol. 4. Applications of Harmonic Analysis. New York: Academic.
- Hida, T., Kuo, H.-H., Pottho_ J., and Streit, L. 1993. White Noise: An Infinite Dimensional Calculus. Dordrecht, The Netherlands: Kluwer.
- Hu, Y., and Oksendal, B. 2003. Fractional white noise calculus and applications to finance. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6:1–32.
- Huang, Z. Y., and Yan, J. A. 1999. Introduction to Infinite Dimensional Stochastic Analysis. Dordrecht, The Netherlands: Kluwer.
- Ito, Y. 1988. Generalized poisson functionals. Probab. Theory and Related Fields 77:1–28.
- Kuo, H.-H. 1996. White Noise Distribution Theory. Boca Raton, FL: Boca Raton.
- Lee, Y.-J., and Shih, H.-H. 1999. The Segal-Bargmann transform for Lévy functionals. J. Funct. Anal. 168:46–83.
- Obata, N. 1993. An analytic characterization of symbols of operators on white noise functionals. J. Math. Soc. Japan 45:421–445.
- Privault, N. Stochastic analysis of Bernoulli processes. 2008. Probab. Surv. 5:435–483.
- Rudnick, J., and Gaspari, G. 2004. Elements of the Random Walk. Cambridge, UK: Cambridge University Press.
- Wang, C. S., and Chen, J. S. 2015. Characterization theorems for generalized functionals of discrete-time normal martingale. J. Funct. Spaces. Art. no. 714745.
- Wang, C. S., Lu, Y. C., and Chai, H. F. 2011. An alternative approach to privault's discrete-time chaotic calculus. J. Math. Anal. Appl. 373:643–654.
- Wang, C. S., and Zhang, J. H. 2014. Wick analysis for bernoulli noise functionals. J. Funct. Spaces. Art. no. 727341.