Cover Image

Integral representation of even positive-definite functions of one variable

We obtain an integral representation of even positive-definite functions of one variable for which the kernel $[k_1(x + y) + k_2 (x − y)]$ is positive definite.

Saved in:

Bibliographic Details
Date:	2010
Main Authors:	Lopotko, O. V., Лопотко, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2865
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Integral representation of even positive-definite functions of two variables
by: Lopotko, O. V., et al.
Published: (2011)

On the extension of even-positive-definite functions of one and two variables
by: Lopotko, O. V., et al.
Published: (1999)

On the representation of continuous positively definite nuclei
by: Chaus, N. N., et al.
Published: (1966)

Representations of the additive group of a nuclear space in terms of self-adjoint operators
by: Lopotko, O. V., et al.
Published: (1999)

On one integral representation of the Hermitian positive matrix kernels of special structure
by: Bekker, M. B., et al.
Published: (1988)

Representation of holomorphic functions of many variables by Cauchy-Stieltjes-type integrals
by: Savchuk, V. V., et al.
Published: (2006)

Analogs of S-type spaces of partially even functions
by: Litovchenko, V. A., et al.
Published: (2013)

On one representation of the multidimensional normal distribution function
by: Poznyakov, V. V., et al.
Published: (1971)

Positive Definite Functions on Complex Spheres and their Walks through Dimensions
by: Massa, E., et al.
Published: (2017)

Characterization of backbending in even-even ¹²⁰⁻¹³⁰Te isotopes
by: Hussein, M., et al.
Published: (2014)

Analogs of S-type spaces of partially even functions
by: V. A. Litovchenko
Published: (2013)

A Note on the Derivatives of Isotropic Positive Definite Functions on the Hilbert Sphere
by: Jäger, J.
Published: (2019)

New Integral Representations for a Hypergeometric Function
by: Volchkov, V. V., et al.
Published: (2001)

Karamata integral representations for functions generalizing regularly varying functions
by: Pavlenkov, V. V., et al.
Published: (2017)

A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
by: Barbosa, Victor S., et al.
Published: (2020)

Local deformations of positive-definite quadratic forms
by: Bondarenko, V. V., et al.
Published: (2012)

Karamata integral representations for functions generalizing regularly varying functions
by: V. V. Pavlenkov
Published: (2017)

Description of the defor-mation properties of even-even 102–106Pd isotopes
by: M. O. Waheed, et al.
Published: (2017)

Description of the defor-mation properties of even-even 102–106Pd isotopes
by: M. O. Waheed, et al.
Published: (2017)

A study of efficiency usage of representations for functions of hype-complex variable
by: Kalinovsky, Ya. O., et al.
Published: (2016)

Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
by: Bonfim, R.N., et al.
Published: (2018)

Scientific positions on the definition and types of international crime
by: I. S. Nurullaiev
Published: (2016)

States of even-even nuclei in neutron chains with N=96, 98, 100
by: M. S. Nadirbekov, et al.
Published: (2012)

States of even-even nuclei in neutron chains with N=96, 98, 100
by: M. S. Nadyrbekov, et al.
Published: (2012)

Two-Dimensional Generalized Moment Representations and Rational Approximations of Functions of Two Variables
by: Holub, A. P., et al.
Published: (2013)

Heat transfer in over-esterification reactor of periodical performance with evenly distributed heat sources of variable intensity
by: M. O. Budko, et al.
Published: (2013)

On Parameter Differentiation for Integral Representations of Associated Legendre Functions
by: Cohl, H.S.
Published: (2011)

Integral representations for the hypergeometric function F8(4)
by: A. N. Novitskaja
Published: (2014)

Two-Dimensional Generalized Moment Representations and Rational Approximations of Functions of Two Variables
by: A. P. Holub, et al.
Published: (2013)

Positive person representation in phraseologisms of ukrainian language
by: N. Venzhynovych
Published: (2010)

Optimization of the Multiply Function of Polynomials for General and Product Forms of the Representation of one Polynomial
by: O. H. Kachko, et al.
Published: (2019)

On one representation of generalized holomorphic vector via derivatives of harmonic functions
by: Zh. A. Tokibetov, et al.
Published: (2020)

Valuability as one of combinations of definition of literature
by: L. B. Babii
Published: (2005)

Integral representation of an analytic function in a ring and its applications
by: Kerekesha, P. V., et al.
Published: (1995)

On one extremal problem for positive series
by: Stepanets, O. I., et al.
Published: (2005)

Optimization of approximate integration of monotone functions of two variables
by: Babenko, V. F., et al.
Published: (1999)

Integral representation of solutions of one parabolic equation with growing coefficients in the group of minor terms
by: S. D. Ivasyshen, et al.
Published: (2015)

Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
by: Barbosa, V.S., et al.
Published: (2015)

On self-conjugation of field operators and integral representations of Whiteman functionals
by: Berezansky, Y. M., et al.
Published: (1966)

Strictly Positive Definite Kernels on a Product of Spheres II
by: Guella, J.C., et al.
Published: (2016)