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Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 20
Let $$\Omega \subset \mathbb {R}^d$$ Ω⊂Rd be open. We investigate conditions under which an operator T on $$L_2(\Omega )$$ L2(Ω) has a continuous kernel $$K... 
Intergral operator | Secondary 47B10 | Continuous kernel | Mercer’s theorem | Analysis | Mathematics | Primary 47G10
Journal Article
Pattern Recognition, ISSN 0031-3203, 02/2015, Volume 48, Issue 2, pp. 344 - 355
In this paper, we use the quantum Jensen–Shannon divergence as a means of measuring the information theoretic dissimilarity of graphs and thus develop a novel... 
Quantum Jensen–Shannon divergence | Graph kernels | Continuous-time quantum walk | Quantum state | Quantum Jensen-Shannon divergence | WALKS | DISTANCE | INFORMATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Machine vision | Quantum theory
Journal Article
Pattern Recognition, ISSN 0031-3203, 2012, Volume 45, Issue 2, pp. 806 - 820
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 9/2014, Volume 330, Issue 3, pp. 1155 - 1178
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 11/2018, Volume 85, pp. 22 - 26
Various new definitions of fractional-order derivatives seek to replace the singular kernel of the Caputo definition by some continuous function. It is shown... 
Continuous kernel | Atangana–Baleanu derivative | Caputo–Fabrizio derivative | Fractional derivative | Caputo-Fabrizio derivative | MATHEMATICS, APPLIED | Atangana-Baleanu derivative
Journal Article
Empirical Economics, ISSN 0377-7332, 2/2015, Volume 48, Issue 1, pp. 37 - 59
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2017, Volume 476, pp. 1 - 14
New approach of fractional derivative with a new local kernel is suggested in this paper. The kernel introduced in this work is the well-known normal... 
Numerical approximations | Exponential decay function | Mittag-Leffler function | Continuous probability distribution | SINGULAR KERNEL | PHYSICS, MULTIDISCIPLINARY | MODEL | DIFFUSION EQUATION | FRACTIONAL DERIVATIVES | Water, Underground | Methods | Organic farming
Journal Article
Machine Learning, ISSN 0885-6125, 6/2013, Volume 91, Issue 3, pp. 305 - 324
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2016, Volume 57, Issue 9, p. 93505
Journal Article
Chemical Engineering Science, ISSN 0009-2509, 04/2012, Volume 72, pp. 78 - 86
The dynamic process monitoring is discussed in this paper. Kernel principal component analysis (KPCA) is a nonlinear monitoring method that cannot be employed... 
Design | Control | Fault detection | Nonlinear processes | Time-varying | Recursive principal component analysis | KPCA | DIAGNOSIS | NUMBER | PCA | ENGINEERING, CHEMICAL | FAULT-DETECTION | CHARTS | Analysis | Algorithms
Journal Article
Annals of Physics, ISSN 0003-4916, 05/2013, Volume 332, pp. 127 - 142
The purpose of this work is to explore the existence and properties of reproducing kernel Hilbert subspaces of L2(C,d2z/π) based on subsets of complex Hermite... 
Quantization | Coherent state | CONTINUOUS-REPRESENTATION THEORY | PHYSICS, MULTIDISCIPLINARY | QUANTUM | LAGUERRE | Quantum physics | Quantum theory | SPACE | HERMITE POLYNOMIALS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | DECOMPOSITION | HARMONIC OSCILLATORS | QUANTIZATION | QUANTUM MECHANICS | KERNELS
Journal Article
by Zhang, X and Wang, BZ and Liu, M
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN 0170-4214, 11/2019, Volume 42, Issue 16, pp. 5251 - 5257
A random normed module is a random generalization of an ordinary normed space, and it is the randomization that makes a random normed module possess rich... 
(epsilon, lambda)-topology | RANDOM NORMED MODULES | MATHEMATICS, APPLIED | random normed module | CONTINUOUS MODULE HOMOMORPHISMS | THEOREM | L-0-linear function | Kernel space | stratification structure
Journal Article
Expert Systems With Applications, ISSN 0957-4174, 06/2016, Volume 51, pp. 207 - 217
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2015, Volume 53, Issue 6, pp. 2677 - 2704
Journal Article
Journal of Spectral Theory, ISSN 1664-039X, 2019, Volume 9, Issue 1, pp. 243 - 268
We study Schrodinger operators on trees and construct associated Poisson kernels, in analogy to the Laplacian on the unit disc. We show that in the absolutely... 
Trees | Poisson kernel | Generalized eigenfunctions | Schrödinger operator | MATHEMATICS | ANDERSON MODEL | MATHEMATICS, APPLIED | RANDOM-WALKS | Schrodinger operator | ABSOLUTELY CONTINUOUS-SPECTRUM | trees
Journal Article
STUDIES IN NONLINEAR DYNAMICS AND ECONOMETRICS, ISSN 1081-1826, 12/2019, Volume 23, Issue 5, p. 1
Journal Article
Infinite Dimensional Analysis, Quantum Probability and Related Topics, ISSN 0219-0257, 09/2012, Volume 15, Issue 3
Using special technique of expanding ratio of densities in an infinite series of polynomials orthogonal with respect to one of the densities, we obtain simple,... 
bilinear generating functions | Mercier | Poisson-Mehler kernels | big continuous q-Hermite | q-Hermite | Al-Salam-Chihara | Chebyshev polynomials | summability and positivity of kernels | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | Q-ORTHOGONAL POLYNOMIALS | PHYSICS, MATHEMATICAL | OSCILLATOR | Q-HERMITE POLYNOMIALS | DISTRIBUTIONS
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 02/2016, Volume 61, Issue 2, pp. 360 - 373
Journal Article
The Annals of Statistics, ISSN 0090-5364, 6/2005, Volume 33, Issue 3, pp. 1380 - 1403
Journal Article
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