Results 11 to 20 of about 1,276,641 (352)
On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]
Sahand 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
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Szegő Type Asymptotics for the Reproducing Kernel in Spaces of Full-Plane Weighted Polynomials [PDF]
Communications in Mathematical Physics, 2021 Consider the subspace $${{{\mathscr {W}}}_{n}}$$ W n of $$L^2({{\mathbb {C}}},dA)$$ L 2 ( C , d A ) consisting of all weighted polynomials $$W(z)=P(z)\cdot e^{-\frac{1}{2}nQ(z)},$$ W ( z ) = P ( z ) · e - 1 2 n Q ( z ) , where P ( z ) is a holomorphic ...
Y. Ameur, Joakim Cronvall
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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
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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
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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
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The Polyanalytic Reproducing Kernels [PDF]
Complex Analysis and Operator Theory, 2019 17
Hicham Hachadi, El Hassan Youssfi
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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
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New Reproducing Kernel Functions [PDF]
Mathematical Problems in Engineering, 2015 Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.
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Theory of Reproducing Kernels [PDF]
Transactions of the American Mathematical Society, 1950 Abstract : The present paper may be considered as a sequel to our previous paper in the Proceedings of the Cambridge Philosophical Society, Theorie generale de noyaux reproduisants-Premiere partie (vol. 39 (1944)) which was written in 1942-1943. In the introduction to this paper we outlined the plan of papers which were to follow.
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New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry [PDF]
Opuscula Mathematica, 2020 We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a general positive definite kernel setting using bilinear forms, and we provide new examples.
D. Alpay, P. Jorgensen
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