Displaying similar documents to “Integrable functions for the Bernoulli measures of rank 1 ”

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 .

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

Cui Minggen, Zhang Yanying (2005)

Annales mathématiques Blaise Pascal

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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.

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 ∈ 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....

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 ∞ -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. ...