The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field
Annales Mathématiques Blaise Pascal, Tome 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.

@article{AMBP_2005__12_1_181_0,
author = {Cui Minggen and Zhang Yanying},
title = {The {Heisenberg} uncertainty relation in harmonic analysis on $p$-adic numbers field},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {181--193},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {12},
number = {1},
year = {2005},
doi = {10.5802/ambp.201},
mrnumber = {2126447},
zbl = {02215256},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.201/}
}
Cui Minggen; Zhang Yanying. The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field. Annales Mathématiques Blaise Pascal, Tome 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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