Discrete vanishing moments and sum rules are established on the Heisenberg group and the relationship between them is investigated in this paper. Also, the compactly supported wavelets with 2 vanishing moments corresponding to the separable filter {a(m,n) h(l)} on the Heisenberg group are constructed by using the theory of discrete vanishing moments and sum rules.Computer Science, Software EngineeringMathematics, Interdisciplinary ApplicationsSCI(E)EI0ARTICLE11-18
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...
In this article we shall construct compactly supported biorthogonal wavelets on the Heisenberg group...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...
Let NAK be the Iwasawa decomposition of group SU(n + 1, 1). The Iwasawa subgroup P = NA can be ident...
In this paper, we propose Fourier–Boas-Like wavelets and obtain sufficient conditions for their high...
AbstractThe authors investigate conditions equivalent to the vanishing of moments of wavelets in a m...
Within the past decades, wavelets and associated wavelet transforms have been intensively investigat...
In this thesis, we derive sufficient and necessary criteria for analyzing vectors in the class of wa...
In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenbe...
Abstract. We present a concrete method to build discrete biorthogonal systems such that the wavelet ...
this paper we continue the application of powerful methods of wavelet analysis to polynomial approxi...
We construct Shannon-like Parseval frame wavelets on a class of non commutative two-step nilpotent L...
Wavelets with matrix dilation are studied. An explicit formula for masks providing vanishing moments...
Abstract. Algebraic relations between discrete and continuous moments of scaling functions are inves...
The orthonormal wavelets associated with a multiresolution analysis are mainly determined by the cor...
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...
In this article we shall construct compactly supported biorthogonal wavelets on the Heisenberg group...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...
Let NAK be the Iwasawa decomposition of group SU(n + 1, 1). The Iwasawa subgroup P = NA can be ident...
In this paper, we propose Fourier–Boas-Like wavelets and obtain sufficient conditions for their high...
AbstractThe authors investigate conditions equivalent to the vanishing of moments of wavelets in a m...
Within the past decades, wavelets and associated wavelet transforms have been intensively investigat...
In this thesis, we derive sufficient and necessary criteria for analyzing vectors in the class of wa...
In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenbe...
Abstract. We present a concrete method to build discrete biorthogonal systems such that the wavelet ...
this paper we continue the application of powerful methods of wavelet analysis to polynomial approxi...
We construct Shannon-like Parseval frame wavelets on a class of non commutative two-step nilpotent L...
Wavelets with matrix dilation are studied. An explicit formula for masks providing vanishing moments...
Abstract. Algebraic relations between discrete and continuous moments of scaling functions are inves...
The orthonormal wavelets associated with a multiresolution analysis are mainly determined by the cor...
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...
In this article we shall construct compactly supported biorthogonal wavelets on the Heisenberg group...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...