Abstract
The theory of sheaves as local data over a topological space is a compelling framework for the study of measurements. Although the theory of sheaves is generally acclaimed to be technically challenging, a variant developed for sheaves on cell complexes is much more manageable and well-suited to applications. This theory supports the standard operations on sheaves, and therefore does not restrict the power of the theoretical machinery developed for their examination. As an application, we show how sheaves can be informative in the analysis of the propagation of waves on graphs.
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Notes
- 1.
If the period \(2\pi /\omega \) is an integer, then \(\{x_n\}\) is periodic.
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Robinson, M. (2014). Signals. In: Topological Signal Processing. Mathematical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36104-3_3
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DOI: https://doi.org/10.1007/978-3-642-36104-3_3
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