Results 41 to 50 of about 50,655 (282)

The meshfree analysis of elasticity problem utilizing radial basis reproducing kernel particle method

Results in Physics, 2020
The computational accuracy of the traditional reproducing kernel particle method (RKPM) is susceptible to different kernel functions. To eliminate the adverse effects of the different kernel functions on the computational accuracy of the RKPM, the radial
Zheng Liu, Hongfen Gao, Gaofeng Wei, Zhiming Wang   +3 more
doaj   +1 more source

Path Integrals on Euclidean Space Forms [PDF]

, 2015
In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
core   +3 more sources

Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions

, 2013
In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces.
Adams, Alpaydin, Berlinet, Buhmann, Ekeland, Erickson, Erickson, Fasshauer, Fasshauer, Fasshauer, Fasshauer, Fred J. Hickernell, Giles, Gregory E. Fasshauer, Hörmander, James, Lumer, Megginson, Micchelli, Micchelli, Qi Ye, Song, Song, Sriperumbudur, Stein, Stein, Steinwart, Wahba, Wendland, Ye, Ye, Zhang, Zhang   +32 more
core   +1 more source

Segal-Bargmann-Fock modules of monogenic functions [PDF]

, 2017
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., Colombo F., Delanghe R., Dixan Peña Peña, Folland G. B., Franciscus Sommen, Gilbert J., Irene Sabadini, Neretin Y. A., Segal I. E., Segal I. E., Voiculescu D. V., Zhu K.   +12 more
core   +3 more sources

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

, 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, Laurent, Béatrice, Reynaud-Bouret, Patricia   +2 more
core   +5 more sources

Realizations of slice hyperholomorphic generalized contractive and positive functions

, 2014
We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated reproducing kernel Pontryagin spacesComment: Revised version,to appear in the ...
Alpay, Daniel, Colombo, Fabrizio, Lewkowicz, Izchak, Sabadini, Irene   +3 more
core   +1 more source

Spheroidal spline interpolation and its application in geodesy

Geodesy and Cartography, 2020
The aim of this paper is to study the spline interpolation problem in spheroidal geometry. We follow the minimization of the norm of the iterated Beltrami-Laplace and consecutive iterated Helmholtz operators for all functions belonging to an appropriate ...
Mostafa Kiani, Nabi Chegini, Abdolreza Safari, Borzoo Nazari   +3 more
doaj   +1 more source

Analysis of unbounded operators and random motion

, 2009
We study infinite weighted graphs with view to \textquotedblleft limits at infinity,\textquotedblright or boundaries at infinity. Examples of such weighted graphs arise in infinite (in practice, that means \textquotedblleft very\textquotedblright large ...
Dunford N., Dutkay D. E., Dutkay D. E., Kolmogoroff A., Palle E. T. Jorgensen, Reed M., Stone M. H.   +6 more
core   +1 more source

Series Expansion and Reproducing Kernels for Hyperharmonic Functions

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jevtić, Miroljub, Pavlović, Miroslav
openaire   +2 more sources

Sampling and Reconstruction of Signals in a Reproducing Kernel Subspace of $L^p({\Bbb R}^d)$

, 2009
In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of $L^p(\Rd), 1\le p\le \infty$, associated with an idempotent integral operator whose kernel has certain off-diagonal decay and regularity.
Nashed, M. Zuhair, Sun, Qiyu
core   +1 more source