Uniqueness problem and growth property for Fourier transform of functions in the upper half-space

DOI10.1080/00036811.2020.1729357zbMath1487.42011OpenAlexW3008740008MaRDI QIDQ5862266

Yan Hui Zhang, Zuo-liang Xu

Publication date: 7 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1729357

zbMATH Keywords

Fourier transformuniqueness\(C\) class

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Growth and integrability of Fourier transforms on Euclidean space
• Uniqueness theorems for Fourier transforms
• Growth properties of Fourier transforms via moduli of continuity
• Uniqueness theorems for harmonic functions in half-spaces
• A uniqueness theorem of Beurling for Fourier transform pairs
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Asymptotic behavior of fractional Laplacians in the half space
• Uncertainty principles on certain Lie groups
• On the lower bound for a class of harmonic functions in the half space
• Growth properties of the Fourier transform
• Uniqueness Theorems for Harmonic Functions in Domains of Revolution
• A New Proof of a Uniqueness Theorem for Harmonic Functions in Half-Spaces
• Phragmén-Lindelöf theorems of subharmonic functions and their applications in the Half space
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