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.
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Contents
- 1. Introduction
- 2. Background
- 2.1. Relevant time scales
- Section 2.1(a): Real numbers
- Section 2.1(b): Multiples of integers
- 2.2 The Hilger complex plane
- Definition 2.2: Hilger complex plane
- Definition 2.2: Hilger real axis
- Definition 2.2: Hilger alternating axis
- Definition 2.2: Hilger circle
- 2.1. Relevant time scales
- 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