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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 257–262 (Mi mzm6930)  
Reconstruction of a function from the modulus of its Fourier transform

V. V. Bashurov
Full-text PDF (617 kB)
Abstract: The article discusses the possibility of reconstructing a finite real function from the modulus of its Fourier transform. It is shown that the solution of this problem is, in general, not unique. The article gives the form of all functions whose Fourier transforms have moduli identical with the given function. A number of classes in which the solution of this problem is unique are given.
Received: 01.11.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 3, Pages 609–614
DOI: https://doi.org/10.1007/BF01119677
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. V. Bashurov, “Reconstruction of a function from the modulus of its Fourier transform”, Mat. Zametki, 6:3 (1969), 257–262; Math. Notes, 6:3 (1969), 609–614
Citation in format AMSBIB
\Bibitem{Bas69}
\by V.~V.~Bashurov
\paper Reconstruction of a~function from the modulus of its Fourier transform
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 3
\pages 257--262
\mathnet{http://mi.mathnet.ru/mzm6930}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=249931}
\zmath{https://zbmath.org/?q=an:0189.42402}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 3
\pages 609--614
\crossref{https://doi.org/10.1007/BF01119677}
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