summary:In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$-solutions ($k$ is an integer and $0\le \alpha <1$) of matrix refinement equations. Several examples are presented to illustrate the general theory
The regularity of refinable functions has been studied extensively in the past. A classical result b...
We characterize the class of integral square matrices M having the property that for every integral ...
AbstractThe regularity of refinable functions has been studied extensively in the past. A classical ...
summary:In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$...
summary:In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$...
We study the existence and regularity of compactly supported solutions = ( ) r;1 =0 of vector refine...
We consider the existence of distributional (or L-2) solutions of the matrix refinement equation ...
: We consider the existence of distributional (or L 2 ) solutions of the matrix refinement equation ...
AbstractIn this paper, we present an example of a refinement equation such that up to a multiplicati...
Abstract – In this paper, we study 1L-solutions of the following two-direction poly-scale refinement...
AbstractWe consider L1-solutions of the following refinement type equationsf(x)=∑n∈Zcn,1f(kx−n)+∑n∈Z...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
The regularity of refinable functions has been studied extensively in the past. A classical result b...
We characterize the class of integral square matrices M having the property that for every integral ...
AbstractThe regularity of refinable functions has been studied extensively in the past. A classical ...
summary:In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$...
summary:In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$...
We study the existence and regularity of compactly supported solutions = ( ) r;1 =0 of vector refine...
We consider the existence of distributional (or L-2) solutions of the matrix refinement equation ...
: We consider the existence of distributional (or L 2 ) solutions of the matrix refinement equation ...
AbstractIn this paper, we present an example of a refinement equation such that up to a multiplicati...
Abstract – In this paper, we study 1L-solutions of the following two-direction poly-scale refinement...
AbstractWe consider L1-solutions of the following refinement type equationsf(x)=∑n∈Zcn,1f(kx−n)+∑n∈Z...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give...
The regularity of refinable functions has been studied extensively in the past. A classical result b...
We characterize the class of integral square matrices M having the property that for every integral ...
AbstractThe regularity of refinable functions has been studied extensively in the past. A classical ...
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