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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 23
  3. Journal of Fourier Analysis and Applications : Volume 23, Issue 2, April 2017
  4. A new construction of the Clifford-Fourier kernel
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 23, Issue 3, June 2017
Journal of Fourier Analysis and Applications : Volume 23, Issue 2, April 2017
Joint Spectral Multipliers for Mixed Systems of Operators
Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields
Fourier Frames for the Cantor-4 Set
Pseudodifferential Operators on Spaces of Distributions Associated with Non-negative Self-Adjoint Operators
Reconstruction Algorithms for a Class of Restricted Ray Transforms Without Added Singularities
Convex Potentials and Optimal Shift Generated Oblique Duals in Shift Invariant Spaces
Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth
A new construction of the Clifford-Fourier kernel
Journal of Fourier Analysis and Applications : Volume 23, Issue 1, February 2017
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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A new construction of the Clifford-Fourier kernel

Content Provider SpringerLink
Author De Bie, Hendrik Lian, Pan Constales, Denis
Copyright Year 2016
Abstract In this paper, we develop a new method based on the Laplace transform to study the Clifford-Fourier transform. First, the kernel of the Clifford-Fourier transform in the Laplace domain is obtained. When the dimension is even, the inverse Laplace transform may be computed and we obtain the explicit expression for the kernel as a finite sum of Bessel functions. We equally obtain the plane wave decomposition and find new integral representations for the kernel in all dimensions. Finally we define and compute the formal generating function for the even dimensional kernels.
Ending Page 483
Page Count 22
Starting Page 462
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 2
Volume Number 23
Language English
Publisher Springer US
Publisher Date 2016-05-25
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Bessel function Functions of hypercomplex variables and generalized variables Clifford-Fourier transform Plane wave decomposition Abstract Harmonic Analysis Mathematical Methods in Physics Fourier Analysis Signal,Image and Speech Processing Clifford algebras, spinors Approximations and Expansions Laplace transform Partial Differential Equations Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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