Cesàro Behavior of Distributions

  • Ricardo Estrada
  • Ram P. Kanwal
Part of the Birkhäuser Advanced Texts book series (BAT)


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.


Spectral Density Fourier Series Analytic Continuation Zeta Function Pseudodifferential Operator 
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  1. 1.
    When dealing with the operator H we shall use X instead of H to denote the Heaviside function.Google Scholar
  2. 2.
    Part of the literature uses “e(x, y; λ)” for what we call “E(x, y; λ)”.Google Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Ricardo Estrada
    • 1
  • Ram P. Kanwal
    • 2
  1. 1.Escuela de MatemáticaUniversidad de Costa RicaSan JoséCosta Rica
  2. 2.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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