Results 11 to 20 of about 63,696 (324)
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral [PDF]
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
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New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 In this paper we construct some new reproducing kernel functions in the reproducing kernel Sobolev space. These functions are new in the literature. We can solve many problems by these functions in the reproducing kernel Sobolev spaces.
Ali Akgül +2 more
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A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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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
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Reproducing Kernels and Variable Bandwidth [PDF]
Journal 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
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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
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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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Duality by reproducing kernels [PDF]
International 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 of 𝒮A(𝒟), we show explicit identifications of the dual spaces.
Shlapunov, Alexander +1 more
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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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