A framework for discrete bilinear spherical averages and applications to ℓ^p-improving estimates

2023/05/23 by Theresa C. Anderson, Anderson, Theresa C., Kumchev, Angel V. +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2305.14346

openalex publication_date 2023/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging operator, and applications, such as to operator bounds.

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