The Heisenberg uncertainty relation in harmonic analysis on p-adic numbers field
Minggen, Cui ; Yanying, Zhang
Annales mathématiques Blaise Pascal, Tome 12 (2005), p. 181-193 / Harvested from Numdam
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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 = {Minggen, Cui and Yanying, Zhang},
     title = {The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {12},
     year = {2005},
     pages = {181-193},
     doi = {10.5802/ambp.201},
     zbl = {02215256},
     mrnumber = {2126447},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2005__12_1_181_0}
}

Minggen, Cui; Yanying, Zhang. The Heisenberg uncertainty relation in harmonic analysis on $p$-adic numbers field. Annales mathématiques Blaise Pascal, Tome 12 (2005) pp. 181-193. doi : 10.5802/ambp.201. http://gdmltest.u-ga.fr/item/AMBP_2005__12_1_181_0/

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