On the Completeness of the System { 𠑧 𠜆 ð ‘› l o g ð ‘— 𠑧 } in ð ¿ 2 ð ‘Ž

Xiangdong Yang

Abstract and Applied Analysis, 2011, vol. 2011, 1-13

Abstract:

Let ð ¿ 2 ð ‘Ž ( Ω ) denote a Hilbert space consisting of analytic functions on an unbounded domain Ω located outside an angle domain with vertex at the origin. We obtain a completeness theorem for the system ð ‘€ Λ = { 𠑧 𠜆 ð ‘› l o g ð ‘— 𠑧 , ð ‘— = 0 , 1 , … , ð ‘š ð ‘› − 1 } ∞ ð ‘› = 1 , in ð ¿ 2 ð ‘Ž ( Ω ) .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:790728

DOI: 10.1155/2011/790728

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