3 papers
math.GM2026
Spatio-Temporal Prediction via Operator-Valued RKHS and Koopman Approximation
Mahishanka Withanachchi
We develop a comprehensive framework for spatio-temporal prediction of time-varying vector fields using operator-valued reproducing kernel Hilbert spaces (OV RKHS). By integrating…
math.CV2026
Solvability of the Bézout Equation for Banach Algebra-Valued Functions on the Polydisk
Alexander Brudnyi, Mahishanka Withanachchi
In connection with the still unsolved multidimensional corona problem for algebras of bounded holomorphic functions on convex domains, we study the solvability of the Bézout equat…
cs.LG2025
Learning Spatio-Temporal Dynamics via Operator-Valued RKHS and Kernel Koopman Methods
Mahishanka Withanachchi
We introduce a unified framework for learning the spatio-temporal dynamics of vector valued functions by combining operator valued reproducing kernel Hilbert spaces (OV-RKHS) with…