Karhunen-Loéve Expansion for Stochastic Convolution of Cylindrical Fractional Brownian Motions
This chapter aims at firstly establishing a Karhunen-Loéve expansion for stochastic convolution of cylindrical fractional Brownian motion, then studying asymptotic behavior of conditional exponential moments of the stochastic convolution via this expansion.
- Cylindrical Brownian motion
- Cylindrical fractional Brownian motion
- Stochastic convolution
- Conditional exponential moments