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Riesz Means and Beurling Moving Averages

2015/02/26 by N. H. Bingham, Bingham, N. H.
Decision Sciences · Mathematics · #26A15 #40E05 #60F15 #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #math.PR #msc:26A15 #msc:40E05 #msc:60F15

paper · pdf · doi:10.48550/arxiv.1502.07494

arxiv created 2015/02/26 · openalex publication_date 2015/02/26 · arxiv updated 2015/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey the interplay between the Riesz means and Beurling moving averages of the title, obtaining Abelian and Tauberian results relating different Riesz means (or Beurling moving averages) whose defining functions have comparable growth. The motivation includes strong limit theorems in probability theory.

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