Cover Image

Isometry of functional spaces with different number of variables

We construct spaces of real functions of n + k variables that are isometric to spaces of real functions given on an n-dimensional Euclidean space. We present certain properties and examples of delta-like kernels used for the construction of isometric spaces of functions with different number of vari...

Full description

Saved in:

Bibliographic Details
Date:	1998
Main Authors:	Bushev, D. M., Бушев, Д. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4852
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

Isometry of the functional spaces with different number of variables and some its applications in the theory of approximation of functions
by: D. N. Bushev
Published: (2019)

Isometry of the subspacesof solutions of systems of differential equations to the spaces of real functions
by: Imash kyzy, M., et al.
Published: (2019)

Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions
by: F. H. Abdullaiev, et al.
Published: (2019)

Approximation of periodic functions of many variables by functions of smaller number of variables in Orlicz metric spaces
by: Ju. A. Babich, et al.
Published: (2018)

Approximation of periodic functions of many variables by functions of smaller number of variables in Orlicz metric spaces
by: Babich, Yu. A., et al.
Published: (2018)

Conditions of Convergence Almost Everywhere for the Convolution of a Function with Delta-Shaped Kernel to this Function
by: Bushev, D. M., et al.
Published: (2015)

The Measure Preserving Isometry Groups of Metric Measure Spaces
by: Guo, Yifan
Published: (2020)

Approximation of classes of periodic functions with small smoothness
by: Bushev, D. M., et al.
Published: (2000)

On the Group of Foliation Isometries
by: Narmanov, A.Yu., et al.
Published: (2009)

On representations of permutations groups as isometry groups of n-semimetric spaces
by: Gerdiy, O., et al.
Published: (2015)

On representations of permutations groups as isometry groups of \(n\)-semimetric spaces
by: Gerdiy, Oleg, et al.
Published: (2018)

On representations of permutations groups as isometry groups of n-semimetric spaces
by: O. Gerdiy, et al.
Published: (2015)

Effect of the nanofillers with different isometry on the thermophysical and relaxation properties of epoxy polymer
by: V. V. Korskanov, et al.
Published: (2014)

Near-isometries of the unit sphere
by: I. A. Vestfrid
Published: (2020)

Near-isometries of the unit sphere
by: Vestfrid, I. A., et al.
Published: (2020)

On some applications of isometricity of functional spaces in applied mathematics
by: D. M. Bushev
Published: (2020)

Reserve of harmonic functions of the infinite number of variables. III
by: Feller , M. N., et al.
Published: (1992)

Quantum Isometry Group for Spectral Triples with Real Structure
by: Goswami, D.
Published: (2010)

On hyperholomorphic functions of the space variable
by: Gerus, O. F., et al.
Published: (2011)

Peculiarities of chromosomal variability in cultured tissues of Deschampsia antarctica plants with different chromosome numbers
by: V. A. Kunakh, et al.
Published: (2016)

Approximation of classes of convolutions by linear methods of summation of Fourier series
by: Bushev, D. M., et al.
Published: (1997)

Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Y.
Published: (2007)

Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Yaroslav
Published: (2018)

Description of the class of strictly differentiable finite-state isometries of the ring $Z_2$
by: Morozov, D. I., et al.
Published: (2021)

Approximation of classes of periodic multivariable functions by linear positive operators
by: Bushev, D. M., et al.
Published: (2006)

Entropy numbers and Kolmogorov widths of Nikol&#039;skii-Besov classes of periodic functions of two variables in the space L∞
by: A. S. Romaniuk
Published: (2015)

Entropy numbers and the widths of the classes Brp,θ of periodic functions of many variables
by: A. S. Romanjuk
Published: (2016)

On faithful actions of groups and semigroups by orientation-preserving plane isometries
by: Vorobets, Y.
Published: (2003)

Description of the class of strictly differentiable finite-state isometries of the ring Z2
by: D. I. Morozov
Published: (2021)

Simple Minimization Method of the Variables Number in Complete and Incomplete Logic Functions. Part 1
by: Rytsar, B.Ye.
Published: (2017)

Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
by: Calvaruso, G., et al.
Published: (2010)

Conditions of Convergence Almost Everywhere for the Convolution of a Function with Delta-Shaped Kernel to this Function
by: D. M. Bushev
Published: (2015)

Comparative Analysis of the Variable Magnetic Field on the Surface of the Rotor of Turbogenerators with Different Numbers of Stator Teeth in the Load Condition
by: V. I. Milykh, et al.
Published: (2014)

A Simple Minimization Method of the Variables Number in Complete and Incomplete Logic Functions. Part 2
by: Ye. Rytsar
Published: (2017)

Estimates for the entropy numbers of the classes BЩ (с,и) of periodic functions of many variables
by: A. F. Konohrai, et al.
Published: (2017)

A Simple Minimization Method of the Variables Number in Complete and Incomplete Logic Functions. Part 2
by: Rytsar, B.Ye.
Published: (2017)

$\varepsilon$-Isometries of convex bodies in $l^n_\infty$ and $l^n_1$
by: Vestfrid, Igor A., et al.
Published: (2025)

Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
by: Goswami, D., et al.
Published: (2014)

Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions
by: T. A. Agoshkova
Published: (2013)

Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions
by: Agoshkova, T. A., et al.
Published: (2013)