Article ID Journal Published Year Pages File Type
4607417 Journal of Approximation Theory 2011 12 Pages PDF
Abstract

We study a minimal property of absolutely representing systems of exponentials EΛ=(eλkz)EΛ=(eλkz) in the space A−∞(Ω)A−∞(Ω) of holomorphic functions in a bounded convex domain ΩΩ of the complex plane CC, with polynomial growth near the boundary. A relationship between the absolutely representing property and absolutely nontrivial expansions of zero in A−∞(Ω)A−∞(Ω) is also investigated.

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Physical Sciences and Engineering Mathematics Analysis
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