Results 31 to 40 of about 5,774,152 (370)

Strictly Positive Definite Kernels on a Product of Spheres II [PDF]

open access: yes, 2016
We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere.
Guella, Jean C.   +2 more
core   +1 more source

Propagation of regularity and positive definiteness: a constructive approach [PDF]

open access: yes, 2018
We show that, for positive definite kernels, if specific forms of regularity (continuity, Sn-differentiability or holomorphy) hold locally on the diagonal, then they must hold globally on the whole domain of positive-definiteness.
J. Buescu, A. Paixao, C. Oliveira
semanticscholar   +1 more source

On positive definiteness over locally compact quantum groups [PDF]

open access: yes, 2015
The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-known results about positive-definite functions over groups to the quantum
Runde, Volker, Viselter, Ami
core   +1 more source

New criteria-based ℋ-tensors for identifying the positive definiteness of multivariate homogeneous forms

open access: yesOpen Mathematics, 2021
Positive definite polynomials are important in the field of optimization. ℋ-tensors play an important role in identifing the positive definiteness of an even-order homogeneous multivariate form.
Sun Deshu, Bai Dongjian
doaj   +1 more source

New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors

open access: yesMathematics, 2018
In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-
Jun He   +3 more
doaj   +1 more source

Geometric conditions for the positive definiteness of the second variation in one-dimensional problems [PDF]

open access: yes, 2016
Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the second variation.
T. Lessinnes, A. Goriely
semanticscholar   +1 more source

Strict positive definiteness on spheres via disk polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q≥3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier-like expansion of the functions in terms of disk polynomials and,
V. A. Menegatto, A. P. Peron
doaj   +1 more source

Predicative definite NPIs in Norwegian

open access: yesNordlyd: Tromsø University Working Papers on Language & Linguistics, 2011
In Norwegian, a weak quantifier or a scalar adjective with a positive value may combine with a definite noun and thereby form an attenuating NPI. These phrases, which I call predicative definite NPIs, are exceptional as nominal phrases, since they do not
Marit Julien
doaj   +1 more source

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

open access: yesMathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

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