Difference between revisions of "Hilger alternating axis"
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(Created page with "The Hilger alternating axis is defined by $$\mathbb{A}_h = \{z \in \mathbb{C}_h \colon z \in \mathbb{R}, z < -\dfrac{1}{h} \right\},$$ where $\mathbb{C}_h$ is the Hilger com...") |
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| − | The Hilger alternating axis is defined by | + | The Hilger alternating axis is defined for $h>1$ by |
| − | $$\mathbb{A}_h = \{z \in \mathbb{ | + | $$\mathbb{A}_h = \left\{z \in \mathbb{R} \colon z < -\dfrac{1}{h} \right\},$$ |
| − | + | and for $h=0$ we let $\mathbb{A}_0=\emptyset$. | |
| + | |||
| + | =Properties= | ||
| + | |||
| + | =References= | ||
| + | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Hilger real axis|next=Hilger circle}}: Definition 2.2 | ||
| + | *{{PaperReference|A generalized Fourier transform and convolution on time scales|2008|Robert J. Marks II|author2=Ian A. Gravagne|author3=John M. Davis|prev=Hilger real axis|next=Hilger circle}}: Definition $2.2$ | ||
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| + | [[Category:Definition]] | ||
| + | |||
| + | <center>{{:Hilger complex plane footer}}</center> | ||
Latest revision as of 15:38, 21 January 2023
The Hilger alternating axis is defined for $h>1$ by $$\mathbb{A}_h = \left\{z \in \mathbb{R} \colon z < -\dfrac{1}{h} \right\},$$ and for $h=0$ we let $\mathbb{A}_0=\emptyset$.
Properties
References
- Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): Definition 2.2
- Robert J. Marks II, Ian A. Gravagne and John M. Davis: A generalized Fourier transform and convolution on time scales (2008)... (previous)... (next): Definition $2.2$
