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1.
22 p, 282.9 KB Moduli of smoothness and growth properties of Fourier transforms : two-sided estimates / Gorbachev, D. ; Tikhonov, Sergey Yu. ; Centre de Recerca Matemàtica
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[superscript] / T d[superscript] and the weighted tail-type integrals of its Fourier transform/series. Sharpness of obtained results in particular is given by the equivalence results for functions satisfying certain regular conditions. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1092)  
Detailed record - Creative Commons
2.
18 p, 223.1 KB Weighted norm inequalities for Fourier transforms of radial functions / Gorbachev, D. ; Liflyand, E. ; Tikhonov, Sergey Yu. ; Centre de Recerca Matemàtica
"Vegeu el resum a l'inici del document del fitxer adjunt".
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 937)  
Detailed record - Creative Commons

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