Fourier transform and convolution in the space \(\ell_ 1\)

DOI10.1007/BF02365085zbMath0830.47018MaRDI QIDQ1207911

Alexander L. Koldobsky

Publication date: 16 May 1993

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

uniquenessFourier transform methodconvolution equationcharacteristic functionalfinite Borel measureexplicit computationincreasing sequence of subspaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• Uniqueness theorems for measures in \(L_ r\) and \(C_ o(\Omega)\)
• Convolution Equations in Certain Banach Spaces
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