Atomic functions: generalization to the multivariable case and promising applications
type: Item
instance of: scholarly article
title: Atomic functions: generalization to the multivariable case and promising applications
zbMATH Open document ID: 1151.35301
author: V. M. Kolodyazhnyj
author: V. A. Rvachov
published in: Cybernetics and Systems Analysis
publication date: 2008-09-04T00:00:00Z
Mathematics Subject Classification ID: 35-03
Mathematics Subject Classification ID: 01A65
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 5320963
zbMATH Keywords: atomic function
zbMATH Keywords: functional-differential equation
zbMATH Keywords: compactly supported function
zbMATH Keywords: atomic function of many variables
MaRDI profile type: Publication
full work available at URL: s10559-007-0114-y
OpenAlex ID: W2005408372
cites work: Method of R-functions in boundary-value problems
cites work: Q3908526
cites work: Compactly supported solutions of functional-differential equations and their applications
cites work: On infinitely smooth compactly supported almost-wavelets
cites work: Generalized refinement equations and subdivision processes
cites work: Interpolating scaling functions, Bernstein polynomials and nonstationary wavelets
cites work: Q4325851
cites work: Subdivision schemes in geometric modelling
cites work: Refinement differential equations and wavelets
cites work: Combinatorics for Wavelets: The Umbral Refinement Equation
cites work: Multiresolution analysis by infinitely differentiable compactly supported functions
cites work: On the construction of multivariate (pre)wavelets
cites work: Spectral properties of continuous refinement operators
cites work: Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations
cites work: Basic wavelet theory
cites work: Q5682632
cites work: Q4696556
cites work: Q4696557
cites work: Synthesis of weight windows on the basis of atomic functions
cites work: An algorithm for the construction of wavelet systems for signal processing
cites work: Orthonormal wavelet systems based on atomic functions
cites work: Approximations by atomic functions and numerical methods for Fredholm integral equations of the second kind
cites work: Q3052734
cites work: Q4283391
cites work: Ten Lectures on Wavelets
cites work: Wavelets. Theory and applications
cites work: Q4377613
cites work: Q4799106
cites work: Q4418038
cites work: Q4455688
cites work: Q5467391
cites work: Q4827992
cites work: Q4675071
cites work: Q4316682
cites work: Q4711011
cites work: Q3359154
cites work: Q4676889
cites work: Q5713374
cites work: Q5467361
cites work: Q4455506
cites work: Functional and algorithmic descriptions of geometric distinctive features of shaped castings in modeling casting processes
cites work: Q4828019
cites work: Q4676932
cites work: Meshless methods: An overview and recent developments
cites work: Survey of meshless and generalized finite element methods: A unified approach
cites work: Q5527364
cites work: Q4550961
cites work: Radial Basis Functions
cites work: Solving differential equations with radial basis functions: Multilevel methods and smoothing
DOI: 10.1007/S10559-007-0114-Y
description: scientific article; zbMATH DE number 5320963