Results 11 to 20 of about 1,777,436 (249)

Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems.
Saeed Hashemi Sababe, Ali Ebadian
doaj   +3 more sources

Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order [PDF]

open access: yesIntegral equations and operator theory, 2021
In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework. In this case the kernel function is given by ezw¯+
D. Alpay   +3 more
semanticscholar   +5 more sources

Reproducing kernel Hilbert spaces of Gaussian priors [PDF]

open access: yes, 2008
We review definitions and properties of reproducing kernel Hilbert spaces attached to Gaussian variables and processes, with a view to applications in nonparametric Bayesian statistics using Gaussian priors.
A. W. van der Vaart, J. H. van Zanten
semanticscholar   +3 more sources

A Characterization for reproducing kernel Hilbert spaces [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1974
AbstractLet G(t, s) be the Green's functions associated with N, a differential operator restricted to certain boundary conditions. Define (u, v)N = (Nu, v)L2. It is shown that the reproducing kernel Hilbert space generated by G is the same as the Hilbert-space completion with respect to ∥ · ∥N of the set of real valued functions which are in C2n and ...
Grethel, Robert J.
openaire   +3 more sources

A Theorem on Reproducing Kernel Hilbert Spaces of Pairs [PDF]

open access: yesRocky Mountain Journal of Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Daniel Alpay
openaire   +5 more sources

Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces [PDF]

open access: yesNeural Information Processing Systems, 2022
We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator.
V. Kostić   +5 more
semanticscholar   +1 more source

Iterative reproducing kernel Hilbert spaces method for Riccati differential equations

open access: yesJournal of Computational and Applied Mathematics, 2017
Mehmet Giyas Sakar
exaly   +2 more sources

Reproducing kernel Hilbert spaces in the mean field limit [PDF]

open access: yesKinetic and Related Models, 2023
Kernel methods, being supported by a well-developed theory and coming with efficient algorithms, are among the most popular and successful machine learning techniques.
Christian Fiedler   +4 more
semanticscholar   +1 more source

Robust Uncertainty Bounds in Reproducing Kernel Hilbert Spaces: A Convex Optimization Approach [PDF]

open access: yesIEEE Transactions on Automatic Control, 2021
The problem of establishing out-of-sample bounds for the values of an unknown ground-truth function is considered. Kernels and their associated Hilbert spaces are the main formalism employed herein, along with an observational model where outputs are ...
Paul Scharnhorst   +3 more
semanticscholar   +1 more source

EQUIVALENT CONDITIONS FOR THE EXISTENCE OF UNCONDITIONAL BASES OF REPRODUCING KERNELS IN SPACES OF ENTIRE FUNCTIONS

open access: yesПроблемы анализа, 2021
We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
doaj   +1 more source

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