Introduction to the Theory of Distributions

Ricardo Estrada and Ram P. Kanwal
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Ricardo Estrada: Universidad de Costa Rica, Escuela de Matemática
Ram P. Kanwal: The Pennsylvania State University, Department of Mathematics

Chapter Chapter 2 in Asymptotic Analysis, 1994, pp 43-87 from Springer

Abstract: Abstract The purpose of this chapter is to present the basic ideas of the theory of distributions. Distributions or generalized functions, as they are also known, have proved to be very useful in many branches of pure and applied mathematics. Many textbooks, monographs and articles have been written on their theory and their applications [12], [23], [53], [63], [64], [69], [71], [80], [97], [111]. Our present aim is to give a brief but solid introduction to the theory of distributions, particularly to those aspects that are important in the theory of asymptotic expansions.

Keywords: Asymptotic Expansion; Integrable Function; Asymptotic Analysis; Radon Measure; Dirac Delta Function (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4684-0029-8_2

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