Results 11 to 20 of about 1,486,932 (305)
Mathematical methods in the applied sciences, 2021 In this research study, fuzzy fractional differential equations in presence of the Atangana–Baleanu–Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique.
Omar Abu Arqub +3 more
semanticscholar +1 more source
Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]
Sahand 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
The Polyanalytic Reproducing Kernels [PDF]
Complex Analysis and Operator Theory, 2019 17
Hicham Hachadi, El Hassan Youssfi
openaire +3 more sources
Advances in Continuous and Discrete Models, 2022 In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the time-fractional diffusion-wave equation in a reproducing kernel Hilbert space.
M. Fardi, Shrideh K. Al-Omari, S. Araci
semanticscholar +1 more source
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
The kaehlerian structures and reproducing kernels [PDF]
Annales Polonici Mathematici, 1991 Summary: It is shown that one can define a Hilbert space structure over a Kählerian manifold with global potential in a natural way.
Krok, Anna, Mazur, Tomasz
openaire +2 more sources
Permutationally Invariant, Reproducing Kernel-Based Potential Energy Surfaces for Polyatomic Molecules: From Formaldehyde to Acetone. [PDF]
Journal of Chemical Theory and Computation, 2020 Constructing accurate, high-dimensional molecular potential energy surfaces (PESs) for polyatomic molecules is challenging. Reproducing kernel Hilbert space (RKHS) interpolation is an efficient way to construct such PESs.
Debasish Koner, M. Meuwly
semanticscholar +1 more source
Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
Advances in Mathematical Physics, 2020 This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li +3 more
doaj +1 more source
A nice asymptotic reproducing kernel
Cubo, 2023 We extend the assertion of Problem 12340 in Amer. Math. Monthly 129 (2022), 686, by deriving some additional asymptotic behaviour of that special kernel.
Raymond Mortini
doaj +1 more source
On Hardy kernels as reproducing kernels
Canadian Mathematical Bulletin, 2022 AbstractHardy kernels are a useful tool to define integral operators on Hilbertian spaces like $L^2(\mathbb R^+)$ or $H^2(\mathbb C^+)$ . These kernels entail an algebraic $L^1$ -structure which is used in this work to study the range spaces of those operators as reproducing kernel Hilbert spaces. We obtain their reproducing kernels, which in the $
openaire +4 more sources