On a restriction problem of de Leeuw type for Laguerre multipliers

1994/08/31 by George Gasper, Gasper, George, Walter Trebels +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.math/9408211

openalex publication_date 1994/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1965 K. de Leeuw \citedeleeuw proved among other things in the Fourier transform setting: \it If a continuous function m(ξ₁, … ,ξ_n) on \bf Rⁿ generates a bounded transformation on L^p(\bf Rⁿ), 1≤ p ≤ ∞ , then its trace m(ξ₁, … ,ξ_m)=m(ξ₁, … ,ξ_m,0,… ,0), m

Citations

• On weighted transplantation and multipliers for Laguerre expansions

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