English

Approximation and Schauder bases in M\"untz spaces $M_{\Lambda ,C}$ of continuous functions

Functional Analysis 2018-12-18 v4

Abstract

In this article M\"untz spaces MΛ,CM_{\Lambda ,C} of continuous functions supplied with the absolute maximum norm are considered. An approximation of functions in M\"untz spaces MΛ,CM_{\Lambda ,C} of continuous functions by Fourier series is studied. An existence of Schauder bases in M\"untz spaces MΛ,CM_{\Lambda ,C} is investigated.

Keywords

Cite

@article{arxiv.1605.09661,
  title  = {Approximation and Schauder bases in M\"untz spaces $M_{\Lambda ,C}$ of continuous functions},
  author = {S. V. Ludkowski},
  journal= {arXiv preprint arXiv:1605.09661},
  year   = {2018}
}

Comments

19 pages, observed misprints are corrected

R2 v1 2026-06-22T14:13:54.215Z