@inbook{b85d426684ae43699c3a9b999e0d71e9,
title = "The Fourier Transforms of General Monotone Functions",
abstract = "Extending the notion of the general monotonicity for sequences to functions, we exploit it to investigate integrability problems for Fourier transforms. The problem of controlling integrability properties of the Fourier transform separately near the origin and near infinity is examined. We then apply the obtained results to the problems of integrability of trigonometric series. Mathematics Subject Classification (2000)",
author = "E. Liflyand and S. Tikhonov",
year = "2009",
language = "American English",
series = "Trends in Mathematics",
publisher = "Birkh{\"a}user",
pages = "377--395",
editor = "Bj{\"o}rn Gustafsson and Alexander Vasil'ev",
booktitle = "Analysis and Mathematical Physics",
}