## Tauberian Remainder Theorems, Issue 2 |

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2rrit anh(xn apoly applied approximation theorem assume assumptions of theorem Banach space belongs Beurling bounded change the line CHAPTER class of kernels compact support consider convergence convolution critical rate differential operator distributions example Fatou's theorem finite formula Fourier transform Frennemo Freud function f G. H. HARDY Ganelius given Hardy-Littlewood's theorem Hence H holds holomornhic imoly inequality Institute of Mathematical introduce Korevaar L-functions L(Rd Laplace transform lemma line of integration llgrad log(l London Math mentioned Minkowski's inequality norm oair oart obtain oroof orove polynomial precise proof prove rapidly decreasing remainders remainder problem result is best Riesz means satisfies J>(x section 2.1 Stieltjes transform strio sub-additive tauberian condition TAUBERIAN REMAINDER THEOREMS tauberian theorem tempered distributions theorem gives Tord H trivial Wiener's method Wiener's Tauberian theorem Wiener's theorem