A chaotic decomposition for the fractional Lebesgue–Pascal noise space
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Anis Riahi
Abstract
This paper is devoted to study the fractional Pascal noise functionals on compound configuration spaces with special emphasis on the chaotic decomposition of the Hilbert spaces of quadratic integrable functionals with respect to the correlation measure corresponding to the fractional Pascal measure in infinite dimensions.
References
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Articles in the same Issue
- Frontmatter
- Partial information maximum principle for optimal control problem with regime switching in the conditional mean-field model
- 𝕃2-solutions of multidimensional generalized BSDEs with weak monotonicity and general growth generators in a general filtration
- The truncated Euler–Maruyama method of one-dimensional stochastic differential equations involving the local time at point zero
- Le Cam–Stratonovich–Boole theory for Itô diffusions
- A chaotic decomposition for the fractional Lebesgue–Pascal noise space
- Lp -solution for BSDEs driven by a Lévy process
- Radonification of a cylindrical Lévy process
Articles in the same Issue
- Frontmatter
- Partial information maximum principle for optimal control problem with regime switching in the conditional mean-field model
- 𝕃2-solutions of multidimensional generalized BSDEs with weak monotonicity and general growth generators in a general filtration
- The truncated Euler–Maruyama method of one-dimensional stochastic differential equations involving the local time at point zero
- Le Cam–Stratonovich–Boole theory for Itô diffusions
- A chaotic decomposition for the fractional Lebesgue–Pascal noise space
- Lp -solution for BSDEs driven by a Lévy process
- Radonification of a cylindrical Lévy process
