It has recently been observed that wide-sense self-similar processes have a rich linear structure analogous to that of wide-sense stationary processes. In this paper, a reproducing kernel Hilbert ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 2 (2015), pp. 852-873 (22 pages) We consider reproducing kernels K : Ω × Ω → ℝ in multiscale series expansion form, i.e., kernels of the form ...

Research in Hilbert space operators and Berezin numbers constitutes a fertile arena in modern mathematical analysis, bridging abstract operator theory with practical applications in spectral theory ...

Hilbert spaces provide a fundamental mathematical framework for analysing infinite-dimensional vector spaces endowed with an inner product. In the context of stochastic processes, these spaces serve ...