A note on growth of Fourier transforms and Moduli of continuity on Damek Ricci spaces

2009/03/26 by Swagato K. Ray, Ray, Swagato K, Rudra P. Sarkar +1
Mathematics · Physics and Astronomy · #22E30 #43A85 #Advanced Differential Geometry Research #Advanced Harmonic Analysis Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #History and Overview (math.HO) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0903.4578

openalex publication_date 2009/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain results related to boundedness of the growth of Fourier transform by the modulus of continuity on Damek-Ricci spaces. For noncompact riemannian symmetric spaces of rank one, analogues of all the results follow the same way.

Related

• Growth Properties of Fourier Transforms
• Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order
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• Growth and integrability of Fourier transforms on Euclidean space
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