Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales

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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

Multiples of integers

2.2 The Hilger complex plane

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

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Paper