Abstract
The purpose of this chapter is to study the behavior of distributions at infinity in an average sense, which corresponds to the idea of Cesàro summability studied in classical analysis. Indeed, following [69] it is shown that the notion of Cesàro summability of divergent series and integrals admits a generalization to distributions and that this generalized notion has many interesting and useful properties.
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References
When dealing with the operator H we shall use X instead of H to denote the Heaviside function.
Part of the literature uses “e(x, y; λ)” for what we call “E(x, y; λ)”.
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© 2002 Springer Science+Business Media New York
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Estrada, R., Kanwal, R.P. (2002). Cesàro Behavior of Distributions. In: A Distributional Approach to Asymptotics. Birkhäuser Advanced Texts. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8130-2_6
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DOI: https://doi.org/10.1007/978-0-8176-8130-2_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6410-1
Online ISBN: 978-0-8176-8130-2
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