Approximations of the Poisson transform for large and small values of the transformation parameter

DOI10.1007/S11139-012-9438-YzbMath1267.41031OpenAlexW1967292391MaRDI QIDQ1955560

Chelo Ferreira, José Luis López

Publication date: 14 June 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9438-y

zbMATH Keywords

error boundsasymptotic expansionsPoisson transform

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical methods for integral transforms (65R10)

Cites Work

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• Weierstrass transform of generalized functions
• The weierstrass transform and an isometry in the heat equation
• Distributional Derivation of an Asymptotic Expansion
• Asymptotic Expansions of Some Integral Transforms by Using Generalized Functions
• Asymptotic Expansions of Generalized Stieltjes Transforms of Algebraically Decaying Functions
• Representation of Functions as Weierstrass- Transforms
• Representation theorems for the weierstrass transform
• A Miniature Theory in Illustration of the Convolution Transform
• Weierstrass Transforms of Positive Functions
• Necessary and Sufficient Conditions for the Representation of a Function by a Weierstrass Transform

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