Geometric minimality conditions for systems of exponentials in $L_p[-\pi,\pi]$

M. Yu. Yurkin

M. V. Lomonosov Moscow State University

Abstract: A proof is given of the stability theorem for minimal systems of exponentials $e(\Lambda)=\{e^{i\lambda x}\}_{\lambda\in\Lambda}$ in $L_p[-\pi,\pi]$, where $\Lambda\subset\mathbb C$ is a discrete subset. Geometric minimality conditions for such systems are obtained.

Received: 13.05.1994
Revised: 25.11.1994

 English version: Mathematical Notes, 1995, 58:5, 1223–1226

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