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

Cui Minggen; Zhang Yanying

Displaying similar documents to “The Heisenberg uncertainty relation in harmonic analysis on $p$ -adic numbers field”

Integrable functions for the Bernoulli measures of rank $1$

Hamadoun Maïga (2010)

Annales mathématiques Blaise Pascal

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In this paper, following the $p$ -adic integration theory worked out by A. F. Monna and T. A. Springer [, ] and generalized by A. C. M. van Rooij and W. H. Schikhof [, ] for the spaces which are not $σ$ -compacts, we study the class of integrable $p$ -adic functions with respect to Bernoulli measures of rank $1$ . Among these measures, we characterize those which are invertible and we give their inverse in the form of series.

Towards a theory of some unbounded linear operators on $p$ -adic Hilbert spaces and applications

Toka Diagana (2005)

Annales mathématiques Blaise Pascal

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We are concerned with some unbounded linear operators on the so-called $p$ -adic Hilbert space $𝔼_{ω}$ . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on $𝔼_{ω}$ , and the solvability of the equation $A u = v$ where $A$ is a linear operator on $𝔼_{ω}$ .

A note on some expansions of p-adic functions

Grzegorz Szkibiel (1992)

Acta Arithmetica

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Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by ${(ϕ ₘ)}_{m \in ℕ ₀}$ . The system ${(ϕ ₘ)}_{m \in ℕ ₀}$ is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to ${(ϕ ₘ)}_{m \in ℕ ₀}$ . This paper is a remark to Rutkowski’s paper. We define another system ${(h ₙ)}_{n \in ℕ ₀}$ in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski....

Weyl-Heisenberg frame in $p$ -adic analysis

Minggen Cui, Xueqin Lv (2005)

Annales mathématiques Blaise Pascal

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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.

Erratum to: “Towards a theory of some unbounded linear operators on $p$ -adic Hilbert spaces and applications”

Toka Diagana (2006)

Annales mathématiques Blaise Pascal

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P-adic Spaces of Continuous Functions II

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

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Necessary and sufficient conditions are given so that the space $C (X, E)$ of all continuous functions from a zero-dimensional topological space $X$ to a non-Archimedean locally convex space $E$ , equipped with the topology of uniform convergence on the compact subsets of $X$ , to be polarly absolutely quasi-barrelled, polarly $ℵ_{o}$ -barrelled, polarly $ℓ^{\infty}$ -barrelled or polarly $c_{o}$ -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain $E^{'}$ -valued measures are investigated. ...

Displaying similar documents to “The Heisenberg uncertainty relation in harmonic analysis on p -adic numbers field”

Integrable functions for the Bernoulli measures of rank 1

Towards a theory of some unbounded linear operators on p -adic Hilbert spaces and applications

A note on some expansions of p-adic functions

Weyl-Heisenberg frame in p -adic analysis

Erratum to: “Towards a theory of some unbounded linear operators on p -adic Hilbert spaces and applications”

P-adic Spaces of Continuous Functions II

Displaying similar documents to “The Heisenberg uncertainty relation in harmonic analysis on $p$ -adic numbers field”

Integrable functions for the Bernoulli measures of rank $1$

Towards a theory of some unbounded linear operators on $p$ -adic Hilbert spaces and applications

Weyl-Heisenberg frame in $p$ -adic analysis

Erratum to: “Towards a theory of some unbounded linear operators on $p$ -adic Hilbert spaces and applications”