Application of basic hypergeometric series to stable analytic continuation

DOI10.1016/S0377-0427(00)00277-6zbMath0955.30005MaRDI QIDQ1571018

N. Delaunay

Publication date: 13 February 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularizationanalytic continuationsampling theorembasic hypergeometric series

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Interpolation in approximation theory (41A05) Representations of entire functions of one complex variable by series and integrals (30D10) Approximation by arbitrary linear expressions (41A45) Analytic continuation of functions of one complex variable (30B40)

Related Items (2)

Unnamed Item ⋮ A mollification regularization method for stable analytic continuation

Cites Work

• Five short stories about the cardinal series
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
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