Zeros of the Fourier transform of a distribution

DOI10.1016/0022-247X(91)90070-GzbMath0744.46028OpenAlexW1998703660MaRDI QIDQ1173805

W. J. Walker

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90070-g

zbMATH Keywords

trigonometric polynomialFourier transform of the distribution

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (6)

Almost periodic functions with bounded Fourier exponents ⋮ Sampling in a weighted Sobolev space ⋮ The separation of zeros for functions with compact spectrum ⋮ Separation of zeros and a Hermite interpolation based frame algorithm for band limited functions ⋮ Superoscillations ⋮ Sampling and interpolation of periodic nonuniform samples involving derivatives

Cites Work

• The separation of zeros for finite functions of exponential type
• Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support
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