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