Results 71 to 80 of about 1,714 (187)

A representation for a weighted L2 space [PDF]

open access: yesSurveys in Mathematics and its Applications, 2017
Using elementary tools of complex analysis and Hilbert space theory, we present a realization of a weighted L2 space on the unit disc. In the way, we show some additional properties.
Martha Guzman-Partida   +1 more
doaj  

Genomic selection of root‐knot nematode (Meloidogyne enterolobii) resistance in watermelon wild relatives (Citrullus amarus)

open access: yesThe Plant Genome, Volume 19, Issue 1, March 2026.
Abstract Meloidogyne enterolobii is a virulent root‐knot nematode (RKN) species posing a significant threat to watermelon production across the United States. The USDA, ARS, Plant Introduction (PI) collection of Citrullus amarus, a wild relative of cultivated watermelon (Citrullus lanatus), contains RKN‐resistance. However, incorporating RKN resistance
Anju Biswas   +8 more
wiley   +1 more source

On goodness‐of‐fit testing for self‐exciting point processes

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.
Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling   +1 more
wiley   +1 more source

Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions

open access: yesDemonstratio Mathematica, 2019
Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
doaj   +1 more source

A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem

open access: yesAbstract and Applied Analysis, 2014
We propose a numerical reconstruction method for solving a time-fractional backward heat conduction problem. Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered ...
Zhi-Liang Deng, Xiao-Mei Yang
doaj   +1 more source

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

open access: yesAbstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari   +2 more
doaj   +1 more source

Learnability in Hilbert Spaces with Reproducing Kernels

open access: yesJournal of Complexity, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces

open access: yesJournal of Complexity, 2001
The results are related with numerical integration of functions in a reproducing kernel Hilbert space (RKHS). The authors define a notion of uniform distribution and discrepancy of sequences in an abstract set \(E\) in terms of a RKHS of functions on \(E\). In the case of the finite-dimensional unit cube the discrepancies introduced are closely related
Amstler, Clemens, Zinterhof, Peter
openaire   +2 more sources

Berezin number inequalities for operators

open access: yesConcrete Operators, 2019
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj   +1 more source

Radial kernels and their reproducing kernel Hilbert spaces

open access: yesJournal of Complexity, 2010
Let \(R\) be a continuous convex function on a Hilbert space \(H\). In learning theory, \[ A(\lambda):= \inf_{h\in H} \{\lambda\| h\|^2+ R(h)\}- \inf_{h\in H} R(h) \] is called an approximation error function. Here, \(H\) is a reproducing kernel Hilbert space (RKHS) of functions on \(\mathbb{R}^d\), i.e., such that the evaluations \(\delta_x: h\mapsto ...
Scovel, Clint   +3 more
openaire   +1 more source

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