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1. Approximation and existence of Schauder bases in Müntz spaces of L1 functions.

Author

Ludkowski, Sergey V.

Subjects
*APPROXIMATION theory, *EXISTENCE theorems, *SCHAUDER bases, *MATHEMATICAL functions, *ISOMORPHISM (Mathematics)
Abstract

An approximation of functions in Müntz spaces M Λ , L 1 of L 1 functions is studied with the help of Fourier series. Müntz spaces are considered with the Müntz condition and the gap condition imposed. It is proved that up to an isomorphism such spaces are contained in Weil–Nagy's class. Moreover, existence of Schauder bases in Müntz spaces M Λ , L 1 is investigated. [ABSTRACT FROM AUTHOR]

Published
2016
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