Difference between revisions of "Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales"
From timescalewiki
Line 11: | Line 11: | ||
:::[[Multiples of integers]] | :::[[Multiples of integers]] | ||
::2.2 The Hilger complex plane | ::2.2 The Hilger complex plane | ||
− | :::[[Hilger complex plane]] | + | :::Definition 2.2: [[Hilger complex plane]] |
:3. The Fourier transform on a time scale | :3. The Fourier transform on a time scale | ||
:4. Convolution on time scales | :4. Convolution on time scales |
Revision as of 15:57, 15 January 2023
Robert J. Marks II, Ian A. Gravagne and John M. Davis: A generalized Fourier transform and convolution on time scales
Published $2008$, Journal of Mathematical Analysis and Applications.
Online copies
Contents
- 1. Introduction
- 2. Background
- 2.1. Relevant time scales
- 2.2 The Hilger complex plane
- Definition 2.2: Hilger complex plane
- 3. The Fourier transform on a time scale
- 4. Convolution on time scales
- 5. Classes of time scales arising from convolution
- 6. Examples of discrete convolution on AITS
- 7. Conclusions