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Asymptotic Müntz–Szász theorems

Volume 270 / 2023

Jim Agler, John E. McCarthy Studia Mathematica 270 (2023), 301-322 MSC: Primary 47A15; Secondary 41A10. DOI: 10.4064/sm220713-19-2 Published online: 17 April 2023

Abstract

We define a monomial space to be a subspace of L$^2([0,1])$ that can be approximated by spaces that are spanned by monomial functions. We describe the structure of monomial spaces.

Authors

  • Jim AglerDepartment of Mathematics
    University of California at San Diego
    La Jolla, CA 92093-0112, U.S.A.
    e-mail
  • John E. McCarthyDepartment of Mathematics
    Washington University in St. Louis
    St. Louis, MO 63130-4899, U.S.A.
    e-mail

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