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The Heisenberg uncertainty relation in harmonic analysis on p-adic numbers field
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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.
Title: The Heisenberg uncertainty relation in harmonic analysis on p-adic numbers field
Description:
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.
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