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The Fourier Transform Asymptotic Behavior Theorem

✍ Scribed by Cohen, Stanley A.


Book ID
114615079
Publisher
IEEE
Year
1969
Tongue
English
Weight
531 KB
Volume
12
Category
Article
ISSN
0018-9359

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Let Ξ“ be a smooth curve in the plane R 2 , and Ξ› be any subset of R 2 . When can one recover uniquely a finite measure ΞΌ, supported by Ξ“ and absolutely continuous with respect to the arc length measure on Ξ“ , from the restriction to Ξ› of its Fourier transform? In this note we present two results in