Discrete–geometric functions associated to polyhedral cones and point sets

In this report, we use Fourier analysis and Diophantine analysis to study functions associated to polyhedral cones and finite point sets. We present a close relationship between the function associated to integral cones and the classical Dedekind sums. The theory of the polytope algebra—the universa...

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Bibliographic Details
Main Author: Wang, Xinli
Other Authors: Chee Yeow Meng
Format: Theses and Dissertations
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/50755
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Institution: Nanyang Technological University
Language: English