A Distributional Approach to Asymptotics: Theory and Applications
Ram P. Kanwal, Ricardo Estrada
Abstract
Ram P. Kanwal, Ricardo Estrada
Abstract
Preface * 1. Basic Results in Asymptotics * 2. Introduction to the Theory of Distributions * 3. A Distributional Theory for Asymptotic Expansions * 4. Asymptotic Expansion of Multi-Dimensional Generalized Functions * 5. Asymptotic Expansion of Certain Series Considered by Ramanujan * 6. Cesaro Behavior of Distributions * 7. Series of Dirac Delta Functions * References * Index
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Preface * 1. Basic Results in Asymptotics * 2. Introduction to the Theory of Distributions * 3. A Distributional Theory for Asymptotic Expansions * 4. Asymptotic Expansion of Multi-Dimensional Generalized Functions * 5. Asymptotic Expansion of Certain Series Considered by Ramanujan * 6. Cesaro Behavior of Distributions * 7. Series of Dirac Delta Functions * References * Index
Key concepts: Asymptotic analysis, Ramanujan's sum, Asymptotic expansion, Mathematics, Series (stratigraphy), Applied mathematics, Asymptotology, Series expansion