Approximation in M\"untz spaces $M_{\Lambda ,p}$ of $L_p$ functions for $1<p<\infty $ and bases
Functional Analysis
2018-12-18 v3
Abstract
M\"untz spaces satisfying the M\"untz and gap conditions are considered. A Fourier approximation of functions in the M\"untz spaces of functions is studied, where . It is proved that up to an isomorphism and a change of variables these spaces are contained in Weil-Nagy's class. Moreover, existence of Schauder bases in the M\"untz spaces is investigated.
Keywords
Cite
@article{arxiv.1605.09665,
title = {Approximation in M\"untz spaces $M_{\Lambda ,p}$ of $L_p$ functions for $1<p<\infty $ and bases},
author = {Sergey V. Ludkowski},
journal= {arXiv preprint arXiv:1605.09665},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1605.09661; 19 pages, observed misprints are corrected, more detailed citations are inserted