Results 1 to 10 of about 170,682 (322)
Some Hilbert spaces related with the Dirichlet space [PDF]
Concrete Operators, 2016 We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola +4 more
doaj +5 more sources
Separability of reproducing kernel spaces
Proceedings of the American Mathematical Society, 2016 We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possesses a Borel measurable feature ...
Owhadi, Houman, Scovel, Clint
core +2 more sources
Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
doaj +3 more sources
Fractal and Fractional, 2022 Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li +3 more
doaj +1 more source
Reproducing Kernel Hilbert Spaces [PDF]
, 2019 This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
+4 more sources
Noncanonical Quantization of Gravity. I. Foundations of Affine Quantum Gravity [PDF]
, 1999 The nature of the classical canonical phase-space variables for gravity suggests that the associated quantum field operators should obey affine commutation relations rather than canonical commutation relations. Prior to the introduction of constraints, a
DeWitt B. S. +3 more
core +3 more sources
Path Integrals on Euclidean Space Forms [PDF]
, 2015 In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
core +3 more sources
Generalized Mercer Kernels and Reproducing Kernel Banach Spaces [PDF]
Memoirs of the American Mathematical
Society, 2019 128 pages and 4 ...
Xu, Yuesheng, Ye, Qi
openaire +2 more sources
Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]
Integral Equations and Operator Theory, 2017 The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of ...
Kumari, Rani +3 more
openaire +3 more sources
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral
Journal of Applied Mathematics, 2012 We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains
Er Gao, Songhe Song, Xinjian Zhang
doaj +1 more source