Functions on the real line with nonnegative Fourier transforms

DOI10.2748/tmj/1178225714zbMath0805.42006OpenAlexW2042323485MaRDI QIDQ1338400

Yoshikazu Onoe, Kazuya Tachizawa, Takeshi Kawazoe

Publication date: 18 December 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225714

zbMATH Keywords

square-integrabilityintegrable function on the real linenon-negative wavelet coefficientsnonnegative Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15)

Related Items (2)

Wiener's problem for positive definite functions ⋮ Laguerre and disk polynomial expansions with nonnegative coefficients

Cites Work

• Fourier series with nonnegative coefficients on compact semisimple Lie groups
• Jacobi functions: the addition formula and the positivity of the dual convolution structure
• A simple bivalency proof that \(t\)-resilient consensus requires \(t+1\) rounds
• Shorter Notes: Fourier Series with Positive Coefficients
• MAJORANT PROBLEMS FOR FOURIER COEFFICIENTS
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