Application of basic hypergeometric series to stable analytic continuation

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摘要

Stable sampling formula using basic hypergeometric series for reconstructing analytic functions from exponentially spaced samples is considered. Criterion for selecting regularizing parameter and error estimates are obtained.

论文关键词:30B40,30D10,33D15,41A05,41A45,65E05,94A12,Analytic continuation,Regularization,Sampling theorem,Basic hypergeometric series

论文评审过程:Received 4 January 1999, Revised 5 October 1999, Available online 26 May 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(00)00277-6