Difference between revisions of "Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales"

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:::[[Multiples of integers]]
 
:::[[Multiples of integers]]
 
::2.2 The Hilger complex plane
 
::2.2 The Hilger complex plane
:::[[Hilger complex plane]]
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:::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 IIIan 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

[1]

Contents

1. Introduction
2. Background
2.1. Relevant time scales
Real numbers
Multiples of integers
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