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Elements of the Theory of Distributions
PseudoFunctions Finite Parts
48 other sections not shown
According admits Applying assertion assume assumption belongs boundary bounded called classical compact set complete concerning condition Consequently consider contained continuous function convergence convolution Corollary defined Definition denote depend derivative distribution ue En+1 equality equation equivalent Example Exercise exist constants exists extended fact fixed follows formula Fourier transformation func function function defined fundamental solution Further give given Hence holds homogeneous implies inequality initial Lemma limit linear mapping means measurable Moreover neighbourhood observe obtain open set operator particular periodic precisely PROOF properties Proposition Prove Remark respect restriction satisfies satisfies condition satisfies equation sequence side solution of Problem subset supp Suppose symbol Take tempered distribution tion unique variable vector space write zero