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Weyl-Heisenberg frame in $p$ -adic analysis

Minggen Cui; Xueqin Lv — 2005

Annales mathématiques Blaise Pascal

In this paper, we establish an one-to-one mapping between complex-valued functions defined on $R^{+} \cup {0}$ and complex-valued functions defined on $p$ -adic number field $Q_{p}$ , and introduce the definition and method of Weyl-Heisenberg frame on hormonic analysis to $p$ -adic anylysis.

Analytical approximation to solutions of singularly perturbed boundary value problems.

Geng, Fazhan; Cui, Minggen — 2010

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

The Heisenberg uncertainty relation in harmonic analysis on $p$ -adic numbers field

Cui Minggen; Zhang Yanying — 2005

Annales mathématiques Blaise Pascal

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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Currently displaying 1 – 3 of 3

Weyl-Heisenberg frame in p -adic analysis

Analytical approximation to solutions of singularly perturbed boundary value problems.

The Heisenberg uncertainty relation in harmonic analysis on p -adic numbers field

Weyl-Heisenberg frame in $p$ -adic analysis

The Heisenberg uncertainty relation in harmonic analysis on $p$ -adic numbers field