On the uniqueness of representation by linear superpositions
Let $Q$ be a set such that every function on $Q$ can be represented by linear superpositions. This representation is, in general, not unique. However, for some sets, it may be unique provided that the initial values of the representing functions are prescribed at some point of $Q$. We study the prop...
Saved in:
| Date: | 2016 |
|---|---|
| Main Authors: | Ismailov, V. E., Ісмаілов, В. Є. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1948 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On the uniqueness of representation by linear superpositions
by: V. E. Ismailov
Published: (2016)
by: V. E. Ismailov
Published: (2016)
Superpositions of functions with fractal properties
by: M. V. Pratsovytyi, et al.
Published: (2021)
by: M. V. Pratsovytyi, et al.
Published: (2021)
Uniqueness and topological properties of number representation
by: Dovgoshey, O., et al.
Published: (2004)
by: Dovgoshey, O., et al.
Published: (2004)
Stochastic impulsive processes on superposition of two renewal processes
by: V. S. Koroliuk, et al.
Published: (2014)
by: V. S. Koroliuk, et al.
Published: (2014)
Stochastic impulsive processes on superposition of two renewal processes
by: Koroliuk, V.S., et al.
Published: (2014)
by: Koroliuk, V.S., et al.
Published: (2014)
Applicability of the superposition principle during polarization of nonlinear optical polymer films
by: S. N. Fedosov, et al.
Published: (2013)
by: S. N. Fedosov, et al.
Published: (2013)
Superposition of states in flux qubits with Josephson junction of ScS-type
by: V. I. Shnyrkov, et al.
Published: (2012)
by: V. I. Shnyrkov, et al.
Published: (2012)
An Identification of Heredity Kernels of the Isotropic Linear Viscoelastic Materials under Combined Stress State. 1. Superposition of the Shear and Volume Creep
by: V. P. Golub, et al.
Published: (2016)
by: V. P. Golub, et al.
Published: (2016)
Superposition of discrete curves in the problem of automated control of geometrical parameters of railway rails
by: V. A. Koljada, et al.
Published: (2010)
by: V. A. Koljada, et al.
Published: (2010)
Sinewave signal formation process analysis based on superposition of rectangular signals
by: Yu. F. Tesyk, et al.
Published: (2017)
by: Yu. F. Tesyk, et al.
Published: (2017)
On the representation by bivariate ridge functions
by: Aliev, R. A., et al.
Published: (2021)
by: Aliev, R. A., et al.
Published: (2021)
To Analysis of Creep Strains and Stress Relaxations in Thin-Wall Tubular Elements Made of Linearly Viscoelastic Materials. 1. Superposition of Shear and Volume Creep
by: V. P. Golub, et al.
Published: (2020)
by: V. P. Golub, et al.
Published: (2020)
Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
by: Matarazzo, G.
Published: (2000)
by: Matarazzo, G.
Published: (2000)
Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
by: Matarazzo, G., et al.
Published: (2000)
by: Matarazzo, G., et al.
Published: (2000)
The effect of superposition on the quantum features of the cavity radiation of a three-level laser
by: D. Ayehu, et al.
Published: (2021)
by: D. Ayehu, et al.
Published: (2021)
The effect of superposition on the quantum features of the cavity radiation of a three-level laser
by: D. Ayehu, et al.
Published: (2021)
by: D. Ayehu, et al.
Published: (2021)
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
by: Demskoi, Dmitry K.
Published: (2021)
by: Demskoi, Dmitry K.
Published: (2021)
On the representation by bivariate ridge functions
by: R. A. Aliev, et al.
Published: (2021)
by: R. A. Aliev, et al.
Published: (2021)
On the existence of unique solutions of linear matrix equations over rings with involution
by: V. R. Zelisko, et al.
Published: (2015)
by: V. R. Zelisko, et al.
Published: (2015)
Reservoir filling triggered seismicity. Superposition of direct and indirect local geological environmental effects
by: P. V. Anakhov, et al.
Published: (2016)
by: P. V. Anakhov, et al.
Published: (2016)
Principle of superposition at construction of geologic-genetic models of gold-ore systems of Ukrainian shield
by: O. V. Drahomyretskyi, et al.
Published: (2016)
by: O. V. Drahomyretskyi, et al.
Published: (2016)
Physical modeling of electrode metal drop transfer in ESM with superposition of pulsed magnetic fields
by: I. V. Protokovilov, et al.
Published: (2017)
by: I. V. Protokovilov, et al.
Published: (2017)
Reservoir filling triggered seismicity. Superposition of direct and indirect local geological environmental effects
by: Anakhov, P. V., et al.
Published: (2016)
by: Anakhov, P. V., et al.
Published: (2016)
PRINCIPLE OF SUPERPOSITION AT CONSTRUCTION OF GEOLOGIC-GENETIC MODELS OF GOLD-ORE SYSTEMS OF UKRAINIAN SHIELD
by: Dragomyretsky, О.V., et al.
Published: (2016)
by: Dragomyretsky, О.V., et al.
Published: (2016)
Linear Representations and Frobenius Morphisms of Groupoids
by: Barbarán Sánchez, J.J., et al.
Published: (2019)
by: Barbarán Sánchez, J.J., et al.
Published: (2019)
Representations of linear groups over Ā₂-algebras
by: Timoshin, A.S.
Published: (2004)
by: Timoshin, A.S.
Published: (2004)
Micro-welding of aluminium alloy by superposition of pulsed Nd:YAG laser and continuous diode laser
by: Y. Okamoto, et al.
Published: (2013)
by: Y. Okamoto, et al.
Published: (2013)
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2024)
by: Kelmer, Filipe, et al.
Published: (2024)
Micro-welding of aluminium alloy by superposition of pulsed Nd:YAG laser and continuous diode laser
by: Okamoto, Y., et al.
Published: (2013)
by: Okamoto, Y., et al.
Published: (2013)
Analytic representation of periodic solutions of linear differential systems
by: Kenzhebaev, K. K., et al.
Published: (1997)
by: Kenzhebaev, K. K., et al.
Published: (1997)
A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems
by: Boichuk, О. A., et al.
Published: (2007)
by: Boichuk, О. A., et al.
Published: (2007)
On the representation of non-linear functions by fractional-power series
by: A. A. Verlan, et al.
Published: (2014)
by: A. A. Verlan, et al.
Published: (2014)
Orbit Representations from Linear mod 1 Transformations
by: Correia Ramos, C., et al.
Published: (2012)
by: Correia Ramos, C., et al.
Published: (2012)
On the representation of non-linear functions by fractional-power series
by: Verlan, A.A., et al.
Published: (2014)
by: Verlan, A.A., et al.
Published: (2014)
Localization of the spectrum and representation of solutions of linear dynamical systems
by: Mazko, A. G., et al.
Published: (1998)
by: Mazko, A. G., et al.
Published: (1998)
Forecasting union grid of Ukraine's load diagram by method of superposition year and day load diagram of electrical demand
by: Dubovskoy S.V., et al.
Published: (2002)
by: Dubovskoy S.V., et al.
Published: (2002)
On the representation of solutions of anticipating linear partial stochastic differential equations
by: Ilchenko, A.V.
Published: (2007)
by: Ilchenko, A.V.
Published: (2007)
The unique books are relurning
by: L. V. Zalizniak
Published: (1994)
by: L. V. Zalizniak
Published: (1994)
On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus
by: Samoilenko, A. M., et al.
Published: (2001)
by: Samoilenko, A. M., et al.
Published: (2001)
Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations
by: Stepanova, I.E.
Published: (2011)
by: Stepanova, I.E.
Published: (2011)
Similar Items
-
On the uniqueness of representation by linear superpositions
by: V. E. Ismailov
Published: (2016) -
Superpositions of functions with fractal properties
by: M. V. Pratsovytyi, et al.
Published: (2021) -
Uniqueness and topological properties of number representation
by: Dovgoshey, O., et al.
Published: (2004) -
Stochastic impulsive processes on superposition of two renewal processes
by: V. S. Koroliuk, et al.
Published: (2014) -
Stochastic impulsive processes on superposition of two renewal processes
by: Koroliuk, V.S., et al.
Published: (2014)