English

Muntz-type theorems on the half-line with weights

Classical Analysis and ODEs 2010-09-30 v1

Abstract

We consider the linear span S of the functions tak (with some ak > 0) in weighted L2 spaces, with rather general weights. We give one necessary and one sufficient condition for S to be dense. Some comparisons are also made between the new results and those that can be deduced from older ones in the literature.

Keywords

Cite

@article{arxiv.1009.5777,
  title  = {Muntz-type theorems on the half-line with weights},
  author = {Agota P. Horvath},
  journal= {arXiv preprint arXiv:1009.5777},
  year   = {2010}
}
R2 v1 2026-06-21T16:20:43.961Z