3 papers
math.FA2026
Reproducing Kernel Hilbert Spaces and entropy Kolmogorov numbers on compact Lie Groups
Zhirayr Avetisyan, Michael Ruzhansky, Karina Gonzalez
On a compact Lie group , we consider the reproducing kernel Hilbert space associated with the integral kernel of a left-invariant, positive, symmetric, trace…
math.FA2025
Asymptotic analysis on a non-standard Hilbert space of non-absolutely integrable functions
F. Andrade da Silva, K. Gonzalez, T. Jordão
In this work, we study the Kuelbs-Steadman-2 space (KS-2 space), a Hilbert space constructed via the Henstock-Kurzweil integral, which allows handling non-absolutely integrable fun…
math.FA2024
Entropy numbers of Reproducing Hilbert Space of zonal positive definite kernels on compact two-point homogeneous spaces
Karina Gonzalez, ThaÃs Jordão
We present estimates for the covering numbers of the unit ball of Reproducing Kernel Hilbert Spaces (RKHSs) of functions on a d-dimensional compact two-point homogeneous spac…