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

Similarity:

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

Similarity:

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

Similarity:

Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by ( ϕ ₘ ) m ∈ ℕ ₀ . The system ( ϕ ₘ ) m ∈ 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 ∈ ℕ ₀ . This paper is a remark to Rutkowski’s paper. We define another system ( h ₙ ) n ∈ 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

Similarity:

In this paper, we establish an one-to-one mapping between complex-valued functions defined on R + ∪ { 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.

P-adic Spaces of Continuous Functions II

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

Similarity:

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 ∞ -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. ...