By considering the Mellin transform of the Integrated Wavelet Transform (IWT), we show that correction to scaling laws for the IWT can be conveniently described in terms of the meromorphic spectrum of the Mellin transform. Relevant singularities are the same as the ones obtained with the energy integral formalism
AbstractIt is shown that any convolution operator in the time domain can be represented exactly as a...
An iterated function system (IFS) is constructed. It is shown that the invariant measure of IFS sati...
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...
The short-distance behavior of the measure of a sphere and of the correlation integral is determi...
A specific form of the Mellin transform, referred to as the “scale transform, ” is known to be a nat...
The analiticity properties of the potential and generalized energy integrals, defined as the Mell...
This paper deals with the Fourier transform ω̂n of wavelet packets ωn ∈ L2(ℝ) relative to the scalin...
Résume ́ – On s’intéresse au problème de la localisation simultanée dans la transformation de M...
The paper proposes a fractional calculus approach to continuous wavelet analysis. Upon introducing a...
Integral transforms have been wide use to solve various ordinary and partial differential equations ...
AbstractThe authors investigate conditions equivalent to the vanishing of moments of wavelets in a m...
The Mellin transform is an integral transform that may be regarded as the multiplicative version of ...
. This paper gives an overview of recent achievements of the multiwavelet theory. The construction o...
The purpose of this overview paper is to present an approach to Mellin transform theory that is full...
The relationship between the spectral properties of the transfer operator corresponding to a wavelet...
AbstractIt is shown that any convolution operator in the time domain can be represented exactly as a...
An iterated function system (IFS) is constructed. It is shown that the invariant measure of IFS sati...
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...
The short-distance behavior of the measure of a sphere and of the correlation integral is determi...
A specific form of the Mellin transform, referred to as the “scale transform, ” is known to be a nat...
The analiticity properties of the potential and generalized energy integrals, defined as the Mell...
This paper deals with the Fourier transform ω̂n of wavelet packets ωn ∈ L2(ℝ) relative to the scalin...
Résume ́ – On s’intéresse au problème de la localisation simultanée dans la transformation de M...
The paper proposes a fractional calculus approach to continuous wavelet analysis. Upon introducing a...
Integral transforms have been wide use to solve various ordinary and partial differential equations ...
AbstractThe authors investigate conditions equivalent to the vanishing of moments of wavelets in a m...
The Mellin transform is an integral transform that may be regarded as the multiplicative version of ...
. This paper gives an overview of recent achievements of the multiwavelet theory. The construction o...
The purpose of this overview paper is to present an approach to Mellin transform theory that is full...
The relationship between the spectral properties of the transfer operator corresponding to a wavelet...
AbstractIt is shown that any convolution operator in the time domain can be represented exactly as a...
An iterated function system (IFS) is constructed. It is shown that the invariant measure of IFS sati...
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspon...