Authors: Eckhard Hitzer
In this paper we use the steerable special relativistic (space-time) Fourier transform (SFT), and relate the classical convolution of the algebra for space-time $Cl(3,1)$-valued signals over the space-time vector space $\R^{3,1}$, with the (equally steerable) Mustard convolution. A Mustard convolution can be expressed in the spectral domain as the point wise product of the SFTs of the factor functions. In full generality do we express the classical convolution of space-time signals in terms of finite linear combinations of Mustard convolutions, and vice versa the Mustard convolution of space-time signals in terms of finite linear combinations of classical convolutions.
Comments: 17 Pages. Math. Methods in the Applied Sciences, First pub.: 04 Mar. 2019, Vol. 42, Iss. 7, pp. 2244-2255, 2019, DOI: 10.1002/mma.5502
Download: PDF
[v1] 2016-01-26 05:07:27
[v2] 2017-02-16 01:16:45
[v3] 2019-04-03 06:25:00
Unique-IP document downloads: 1262 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.