Hilger real axis

Let $h>0$. We define the Hilger real axis by $$\mathbb{R}_h = \left\{ z \in \mathbb{C}_h \colon z \in \mathbb{R}, z > -\dfrac{1}{h} \right\},$$ where $\mathbb{C}_h$ is the Hilger complex plane.

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 $2.2$