Leszek Gawarecki & Vidyadhar S. Mandrekar 
Stochastic Analysis for Gaussian Random Processes and Fields [PDF ebook] 
With Applications

Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS