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
Müntz spaces
monomial spaces

Access to Document

10.4064/sm220713-19-2

Cite this

@article{4066a10214954a99ae761b3f7ec46f8e,

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, M{\"u}ntz spaces, monomial spaces",

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

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2023.",

year = "2023",

doi = "10.4064/sm220713-19-2",

language = "English",

volume = "270",

pages = "301--322",

journal = "Studia Mathematica",

issn = "0039-3223",

number = "3",

}

TY - JOUR

T1 - Asymptotic Müntz–Szász theorems

AU - Agler, Jim

AU - McCarthy, John E.

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2023.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Beurling’s theorem

KW - Hardy operator

KW - Müntz spaces

KW - monomial spaces

UR - https://www.scopus.com/pages/publications/85165177082

U2 - 10.4064/sm220713-19-2

DO - 10.4064/sm220713-19-2

M3 - Article

AN - SCOPUS:85165177082

SN - 0039-3223

VL - 270

SP - 301

EP - 322

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Asymptotic Müntz–Szász theorems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this