Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607417 | Journal of Approximation Theory | 2011 | 12 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A.V. Abanin, Le Hai Khoi, Yu.S. Nalbandyan,