We construct frames of wave packets produced by parabolic dilation, rotation, and
translation of (a finite sum of) Gaussians and give asymptotics on the analogue of …

In a first part, we review the general theory of coherent states (CS). Starting from the
canonical CS introduced by Schrödinger in 1926 and rediscovered by Glauber, Klauder and …

This paper focuses on the development of a new 2D time wavelets family for image
sequence that can capture different motion in image sequence, ranging from highly …

We review the general properties of the wavelet transform, both in its continuous and its
discrete versions, in one or two dimensions, and we describe some of its applications in …

We review the general properties of the wavelet transform, both in its continuous and its
discrete versions, in one or two dimensions, and we describe some of its applications in …

We present and study a family of filters on $ L^ 2 (\mathbb {R}^ d) $ consisting of Gaussian
polynomials. That is, multipliers in the frequency domain that are products of polynomials …

CM (k)= p✏(exp (− 1 2| A− 1 (k− k0)| 2)− h (k)) where A= diag [✏− 1/2, 1],✏> 1, is a 2⇥ 2
anisotropy matrix and the correction term h (k) is negligible in practice The Morlet wavelet is …

The analysis of the time sequence can be two ways in the time domain and frequency
domain. But many financial time series exhibit strong non-stationary and long memory …

In the preceding chapters, we have encountered both continuous and discrete frames the
latter are more traditional, but in fact the two are necessarily linked. Suppose one is dealing …