Results 11 to 20 of about 59,248 (235)

On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations

open access: yesEntropy, 2022
In the spectral analysis of operators associated with Sturm–Liouville-type boundary value problems for fractional differential equations, the problem of positive definiteness or the problem of Hermitian nonnegativity of the corresponding kernels plays an
Mukhamed Aleroev, Temirkhan Aleroev
doaj   +1 more source

One-Step Recurrences for Stationary Random Fields on the Sphere [PDF]

open access: yes, 2016
Recurrences for positive definite functions in terms of the space dimension have been used in several fields of applications. Such recurrences typically relate to properties of the system of special functions characterizing the geometry of the underlying
Beatson, R. K., Castell, W. zu
core   +1 more source

Positive definite measures [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
In this paper we prove two theorems relating positive definite measures to induced representations. The first shows how the injection of a positive definite measure on a topological group H into a containing locally compact group G in which H is closed gives rise to induced representations.
openaire   +2 more sources

Positive Inductive-Recursive Definitions [PDF]

open access: yesLogical Methods in Computer Science, 2013
A new theory of data types which allows for the definition of types as initial algebras of certain functors Fam(C) -> Fam(C) is presented. This theory, which we call positive inductive-recursive definitions, is a generalisation of Dybjer and Setzer's theory of inductive-recursive definitions within which C had to be discrete -- our work can ...
Ghani, Neil   +2 more
openaire   +6 more sources

V-singular values of rectangular tensors and their applications

open access: yesJournal of Inequalities and Applications, 2019
The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular value inclusion sets for rectangular tensors ...
Jun He   +3 more
doaj   +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

Certain Positive-Definite Kernels [PDF]

open access: yesProceedings of the American Mathematical Society, 1989
In one way or another, the extension of the standard Brownian motion process { B t : t ∈ [ 0 , ∞ ) } \{ {B_t}:t \in [0,\infty )\} to a (Gaussian) random field { B t
Ossiander, Mina, Waymire, Edward C.
openaire   +1 more source

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

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

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