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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1972 Volume 36, Issue 3, Pages 583–590 (Mi im2314)

This article is cited in 5 papers

On biorthogonal expansions in exponential functions

A. M. Sedletskii


Abstract: An equiconvergence theorem for nonharmonic Fourier series of the form $\sum a_ne^{i\lambda_nx}$ and ordinary Fourier series is proved for functions in $L^p(-\pi,\pi)$, $p>1$, when the exponents $\{\lambda_n\}$ are the roots of a member of a certain class of entire functions.

UDC: 517.5

MSC: Primary 42A20, 42A60; Secondary 42A72

Received: 27.04.1971


 English version:
Mathematics of the USSR-Izvestiya, 1972, 6:3, 579–586

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