Difference between revisions of "Hilger complex plane"
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Let $h>0$ be fixed. We define the Hilger complex plane to be | Let $h>0$ be fixed. We define the Hilger complex plane to be | ||
| − | $$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\} | + | $$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\},$$ |
| + | and for $h=0$, we let $\mathbb{C}_0=\mathbb{C}$. | ||
=Properties= | =Properties= | ||
Revision as of 00:40, 30 May 2017
Let $h>0$ be fixed. We define the Hilger complex plane to be $$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\},$$ and for $h=0$, we let $\mathbb{C}_0=\mathbb{C}$.
Properties
References
- Robert J. Marks II, Ian A. Gravagne and John M. Davis: A generalized Fourier transform and convolution on time scales (2008)... (previous)... (next): Definition $2.2$
