Results 11 to 20 of about 50,456 (286)
Reproducing kernel functions and homogenizing transforms
A lot of problems of the physical world can be modeled by non-linear ODE with their initial and boundary conditions. Especially higher order differential equations play a vital role in this process. The method for solution and its effectiveness are as important as the modelling.
Yildirim, Elif Nuray +2 more
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New Reproducing Kernel Functions [PDF]
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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Reproducing kernel‐based functional linear expectile regression
Expectile regression is a useful alternative to conditional mean and quantile regression for characterizing a conditional response distribution, especially when the distribution is asymmetric or when its tails are of interest. In this article, we propose a class of scalar‐on‐function linear expectile regression models where the functional slope ...
Meichen Liu +5 more
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Reproducing kernel functions for difference equations
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Akgul, Ali, Inc, Mustafa, Karatas, Esra
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New reproducing kernel functions in the reproducing kernel Sobolev spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali +2 more
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On functional reproducing kernels
Abstract 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. Constructions in spaces that are the Fourier transform of weighted
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Inner Functions in Reproducing Kernel Spaces [PDF]
In this paper we explore the notion of inner function in a broader context of operator theory.
Cheng, Raymond +2 more
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Reproducing kernel for elastic Herglotz functions [PDF]
We study the elastic Herglotz wave functions, which are entire solutions of the spectral Navier equation appearing in the linearized elasticity theory with $L^2-$far-field patterns. We characterize in three-dimensions the set of these functions $\mathcal{W},$ as a close subspace of a Hilbert space $\mathcal{H}$ of vector valued functions such that they
Luque, T., Vilela, M. C.
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Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan +2 more
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Segal-Bargmann-Fock modules of monogenic functions [PDF]
In this paper we introduce the classical Segal-Bargmann transform starting from the basis of Hermite polynomials and extend it to Clifford algebra-valued functions. Then we apply the results to monogenic functions and prove that the Segal-Bargmann kernel
Brackx F. +12 more
core +3 more sources

