Displaying similar documents to “Best approximation by Vilenkin-like systems.”

On orthonormal product systems.

Schipp, Ferenc (2004)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

Multiplicative Systems on Ultra-Metric Spaces

Memic, Nacima (2010)

Mathematica Balkanica New Series

Similarity:

AMS Subj. Classification: MSC2010: 42C10, 43A50, 43A75 We perform analysis of certain aspects of approximation in multiplicative systems that appear as duals of ultrametric structures, e.g. in cases of local fields, totally disconnected Abelian groups satisfying the second axiom of countability or more general ultrametric spaces that do not necessarily possess a group structure. Using the fact that the unit sphere of a local field is a Vilenkin group, we introduce a new concept...

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 .