Abstract
Various new sufficient conditions for representation of a function of several variables as an absolutely convergent Fourier integral are obtained. The results are given in terms of Lp integrability of the function and its partial derivatives, each with a different p. These p are subject to certain relations known earlier only for some particular cases. Sharpness and applications of the results obtained are also discussed.
Original language | English |
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Pages (from-to) | 17-35 |
Number of pages | 19 |
Journal | Studia Mathematica |
Volume | 214 |
Issue number | 1 |
DOIs | |
State | Published - 2013 |
Keywords
- Fourier integral
- Fourier multiplier
- Hardy{Steklov inequality