A formula for the Fourier transform of certain odd differentiable functions.

DOI10.1016/S0022-247X(03)00243-9zbMath1051.42006MaRDI QIDQ1410243

Ryan M. Berndt

Publication date: 14 October 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformasymptotic behaviourtempered distributionslowly varying function

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (1)

Global behavior of integral transforms

Cites Work

• Unnamed Item
• Abelian and Tauberian theorems relating the local behavior of an integrable function to the tail behavior of its Fourier transform
• Slowly varying functions and asymptotic behavior of a class of integral transforms. II
• On the behaviour of the characteristic function of a probability distribution in the neighbourhood of the origin
• Regularly varying functions

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