Results 21 to 30 of about 3,282,070 (234)
Cyclicity in Reproducing Kernel Hilbert Spaces of Analytic Functions [PDF]
Computational Methods and Function Theory, 2014 We introduce a large family of reproducing kernel Hilbert spaces $\mathcal{H} \subset \mbox{Hol}(\mathbb{D})$, which include the classical Dirichlet-type spaces $\mathcal{D}_α$, by requiring normalized monomials to form a Riesz basis for $\mathcal{H}$. Then, after precisely evaluating the $n$-th optimal norm and the $n$-th approximant of $f(z)=1-z$, we
Fricain, Emmanuel +2 more
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Inner Functions in Reproducing Kernel Spaces [PDF]
, 2019 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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A signal theory approach to support vector classification: the sinc kernel [PDF]
, 2009 Fourier-based regularisation is considered for the support vector machine classification problem over absolutely integrable loss functions. By invoking the modest assumption that the decision function belongs to a Paley–Wiener space, it is shown that the
Nelso, James D.B. +3 more
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Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces [PDF]
, 2011 The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A. +7 more
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Functionals with extrema at reproducing kernels
Geometric and Functional Analysis, 2022 AbstractWe show that certain monotone functionals on the Hardy spaces and convex functionals on the Bergman spaces are maximized at the normalized reproducing kernels among the functions of norm 1, thus proving the contractivity conjecture of Pavlović and of Brevig, Ortega-Cerdà, Seip and Zhao and the Wehrl-type entropy conjecture for the SU(1, 1 ...
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Mathematical Modelling and Analysis, 2018 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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Detecting Inverse Boundaries by Weighted High-Order Gradient Collocation Method
Mathematics, 2020 The weighted reproducing kernel collocation method exhibits high accuracy and efficiency in solving inverse problems as compared with traditional mesh-based methods.
Judy P. Yang, Hon Fung Samuel Lam
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Advanced Modeling and Simulation in Engineering Sciences, 2022 The numerical modelling of natural disasters such as landslides presents several challenges for conventional mesh-based methods such as the finite element method (FEM) due to the presence of numerically challenging phenomena such as severe material ...
Jonghyuk Baek +3 more
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Recovering Heat Source from Fourth-Order Inverse Problems by Weighted Gradient Collocation
Mathematics, 2022 The weighted gradient reproducing kernel collocation method is introduced to recover the heat source described by Poisson’s equation. As it is commonly known that there is no unique solution to the inverse heat source problem, the weak solution based on ...
Judy P. Yang, Hsiang-Ming Li
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Reproducing kernel‐based functional linear expectile regression
Canadian Journal of Statistics, 2021 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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