[Authors] Nazarov, A. I.; Nikitin, Ya. Yu. [Title] Online-centered Gaussian processes and applications [AMS Subj-class] 60G15 Gaussian processes 47A75 Eigenvalue problems for linear operators [Keywords] Gaussian processes, online centering, spectral equivalence [Abstract] We establish various properties of the online centering of Gaussian processes and discuss its application to goodness-of-fit testing. [Comments] LaTeX, English, 8 pp. [Contact e-mail] al.il.nazarov@gmail.com