Asymptotic Müntz–Szász theorems

Jim Agler; John E. McCarthy

doi:10.4064/sm220713-19-2

Asymptotic Müntz–Szász theorems

Jim Agler, John E. McCarthy

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We define a monomial space to be a subspace of L²([0,1]) that can be approximated by spaces that are spanned by monomial functions. We describe the structure of monomial spaces.

Original language	English
Pages (from-to)	301-322
Number of pages	22
Journal	Studia Mathematica
Volume	270
Issue number	3
DOIs	https://doi.org/10.4064/sm220713-19-2
State	Published - 2023

Keywords

Beurling’s theorem
Hardy operator
monomial spaces
Müntz spaces

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10.4064/sm220713-19-2

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title = "Asymptotic M{\"u}ntz–Sz{\'a}sz theorems",

abstract = "We define a monomial space to be a subspace of L2([0,1]) that can be approximated by spaces that are spanned by monomial functions. We describe the structure of monomial spaces.",

keywords = "Beurling{\textquoteright}s theorem, Hardy operator, monomial spaces, M{\"u}ntz spaces",

author = "Jim Agler and McCarthy, {John E.}",

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AU - McCarthy, John E.

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PY - 2023

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KW - Beurling’s theorem

KW - Hardy operator

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KW - Müntz spaces

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JF - Studia Mathematica

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ER -

Asymptotic Müntz–Szász theorems

Abstract

Keywords

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