Absolute convergence of multiple Fourier integrals

• Autorzy: Yurii Kolomoitsev , Elijah Liflyand
• Języki publikacji: EN

Abstrakty

EN

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 $L_{p}$ 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.

Kategorie tematyczne

• 42B15: Multipliers
• 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 42A45: Multipliers
• 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 214
• Numer: 1
• Strony: 17-35

Daty

wydano

2013

Twórcy

autor

Yurii Kolomoitsev

• Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Rosa Luxemburg St. 74, Donetsk 83114, Ukraine

autor

Elijah Liflyand

• Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel

Identyfikatory

DOI

10.4064/sm214-1-2