Results 11 to 20 of about 26,851 (277)

Reproducing Kernels and Variable Bandwidth [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
doaj   +3 more sources

Multivariable Christoffel-Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2006
We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random Hermitian matrices.
Hjalmar Rosengren
doaj   +7 more sources

On functional reproducing kernels

open access: yesOpen Mathematics, 2023
We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
doaj   +3 more sources

Duality by reproducing kernels [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Let A be a determined or overdetermined elliptic differential operator on a smooth compact manifold X. Write 𝒮A(𝒟) for the space of solutions of the system Au=0 in a domain 𝒟⋐X. Using reproducing kernels related to various Hilbert structures on subspaces
A. Shlapunov, N. Tarkhanov
doaj   +3 more sources

Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]

open access: yesIntegral 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   +5 more sources

On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces  
Mohammadreza Foroutan
doaj   +1 more source

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   +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

The Polyanalytic Reproducing Kernels [PDF]

open access: yesComplex Analysis and Operator Theory, 2019
17
Hicham Hachadi, El Hassan Youssfi
openaire   +3 more sources

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