An entropy-based uncertainty principle for a locally compact abelian group |
| |
Authors: | Murad Özaydin |
| |
Institution: | Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA |
| |
Abstract: | We classify all functions on a locally compact, abelian group giving equality in an entropy inequality generalizing the Heisenberg Uncertainty Principle. In particular, for functions on a real line, we proof a conjecture of Hirschman published in 1957. |
| |
Keywords: | primary 43A25 secondary 94A17 |
本文献已被 ScienceDirect 等数据库收录! |
|