The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field
Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 1, pp. 181-193.

In this paper, two important geometric concepts–grapical center and width, are introduced in $p$-adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in $p$-adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on $p$-adic numbers field.

DOI: 10.5802/ambp.201
Cui Minggen 1; Zhang Yanying 2

1 Harbin Institute of Technology Department of Mathematics No.2 WenHua west road WeiHai, ShanDong, 264209 CHINA
2 Harbin Normal University Department of Information Science HeXing Road Harbin,HeiLongJiang, 150080 CHINA
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Cui Minggen; Zhang Yanying. The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field. Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 1, pp. 181-193. doi : 10.5802/ambp.201. https://ambp.centre-mersenne.org/articles/10.5802/ambp.201/

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