Results 41 to 50 of about 26,851 (277)

The Young type theorem in weighted Fock spaces

open access: yes, 2017
We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight.
Baranov, Anton   +2 more
core   +3 more sources

On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj   +1 more source

Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

open access: yesCommunications in Advanced Mathematical Sciences, 2020
Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
doaj   +1 more source

Xylosandrus crassiusculus (Motschulsky) (Coleoptera: Curculionidae) and Its Fungal Symbiont Ambrosiella roeperi Associated with Arecanut Kernel Decay in Karnataka, India

open access: yesInsects, 2022
Xylosandrus crassiusculus (Coleoptera: Curculionidae: Scolytinae) is reported causing damage to areca palm plantations (Areca catechu L.—Arecaceae) in Karnataka (India). In particular, X.
Shivaji Hausrao Thube   +7 more
doaj   +1 more source

Reproducing kernel Hilbert spaces and variable metric algorithms in PDE constrained shape optimisation [PDF]

open access: yes, 2016
In this paper we investigate and compare different gradient algorithms designed for the domain expression of the shape derivative. Our main focus is to examine the usefulness of kernel reproducing Hilbert spaces for PDE constrained shape optimisation ...
Eigel, Martin, Sturm, Kevin
core   +3 more sources

The two-sample problem for Poisson processes: adaptive tests with a non-asymptotic wild bootstrap approach [PDF]

open access: yes, 2012
Considering two independent Poisson processes, we address the question of testing equality of their respective intensities. We first propose single tests whose test statistics are U-statistics based on general kernel functions. The corresponding critical
Fromont, Magalie   +2 more
core   +5 more sources

Total positivity and reproducing kernels [PDF]

open access: yesPacific Journal of Mathematics, 1974
In this paper we investigate the relationship between total positivity and reproducing kernels. We extend the notion of total positivity to domains in the complex plane. In doing so, we also give a geometrical interpretation to certain Wronskians of reproducing kernels. These geometrical quantities are connected to Gaussian curvatures of Kahler metrics
openaire   +2 more sources

On Hardy kernels as reproducing kernels

open access: yesCanadian Mathematical Bulletin, 2022
AbstractHardy kernels are a useful tool to define integral operators on Hilbertian spaces like $L^2(\mathbb R^+)$ or $H^2(\mathbb C^+)$ . These kernels entail an algebraic $L^1$ -structure which is used in this work to study the range spaces of those operators as reproducing kernel Hilbert spaces. We obtain their reproducing kernels, which in the $
openaire   +4 more sources

Reconstruction inversion formulas for the Laguerre Gabor transform

open access: yesJournal of Numerical Analysis and Approximation Theory
In this paper, we define and study the Gabor transform in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel theorem, inversion formula and Calder´on’s reproducing inversion formula.
Khaled Hleili, Manel Hleili
doaj   +1 more source

The Convergence Rate for a K-Functional in Learning Theory

open access: yesJournal of Inequalities and Applications, 2010
It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the upper bounds estimate for a K-functional is needed.
Bao-Huai Sheng, Dao-Hong Xiang
doaj   +1 more source

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