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Continuous Curvelet Transform: I. Resolution of the Wavefront Set
Wavelets Curvelets Wave Packets Directional Wavelets
2015/8/21
We discuss a Continuous Curvelet Transform (CCT), a transform f → Γf(a, b, θ) of
functions f(x1, x2) on R2, into a transform domain with continuous scale a > 0, location
b ∈ R2, and orientation θ ∈...
3D Discrete Curvelet Transform
Curvelet transform Parabolic scaling High-dimensional singularities Partition of unity Fast Fourier transform Out-of-core algorithm Parallel algorithm Wrapping
2015/7/15
In this paper, we present the first 3D discrete curvelet transform. This transform is an extension to the 2D transform described in Cand`es et al..1 The resulting curvelet frame preserves the importan...
Generalized Fourier transform on Chébli-Triméche hypergroups
Ch´ ebli-Trim`eche hypergroups Generalized Fourier transform
2011/3/1
In this paper, we prove the Hardy-Littlewood inequality for the generalized Fourier transform on Ch´ebli-Trim`eche hypergroups and we study in the particular case of the Jacobi hypergroup the in...
A Gaussian estimate for the Heat Kernel on differential forms and application to the Riesz transform
Gaussian the Heat Kernel differential forms
2010/11/24
Let $(M^m,g)$ be a m-dimensional complete Riemannian manifold which satisfies the n-Sobolev inequality and on which the volume growth is comparable to the one of $\R^n$ for big balls; if the Hodge Lap...
On the distribution of exponential functionals for Levy processes with jumps of rational transform
exponential functionals Levy processes rational transform
2010/11/22
We derive explicit formulas for the Mellin transform and the distribution of the exponential functional for Levy processes with rational Laplace exponent. This extends recent results by Cai and Kou o...
On Girsanov's transform for backward stochastic differential equations
stochastic differential equations math
2010/11/19
By using a simple observation that the density processes appearing in Ito's martingale representation theorem are invariant under the change of measures, we establish a non-linear version of the Came...
Strong annihilating pairs for the Fourier-Bessel transform
Fourier-Bessel transform Hankel transform uncertainty principle
2010/12/1
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Bened...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...
The discrete Fourier transform of $r$-even functions
periodic function multiplicative function r-even function discrete Fourier transform
2010/12/14
We give a detailed study of the discrete Fourier transform (DFT) of r-even arithmetic unctions,
which form a subspace of the space of r-periodic arithmetic functions. We consider the DFT of
sequence...
On Heisenberg and Local Uncertainty Principles for the $q$-Dunkl Transform
$q$-Dunkl transform Heisenberg-Weyl inequality Local uncertainty principles
2010/1/22
In this paper, we provide, for the q-Dunkl transform studied in [2], a Heisenberg uncertainty principle and two local uncertainty principles leading to a new Heisenberg-Weyl type inequality.
Estimate of the $L^p$-Fourier Transform Norm on Strong *-Regular Exponential Solvable Lie Groups
Exponential Lie group Plancherel measure unitary representation coadjoint orbit $L^p$-Fourier transform
2007/12/13
We study the $L^{p}$-Fourier transform for a special class of exponential Lie groups, the strong $\ast$-regular exponential Lie groups. Moreover, we provide an estimate of its norm using the orbit met...
专著信息
书名
Matrix isolation Fourier transform infrared spectroscopic and density functional theoretical studies of the reactions of chromium atoms and acetylene
语种
英文
撰写或编译
作者
Z. G. Huang,A. H. Zeng,J. D...