Rataj, Jan Some remarks on Fourier seminorms. (English) Zbl 0635.60035 Čas. Pěstování Mat. 112, 368-372 (1987). In several papers and in a monograph the reviewer has used a semi-norm, called Gaussian semi-norm, on the algebra of signed measures on the line R and the Euclidean space \(R^{(k)}\), \(k>1\). F. Zítek [ibid. 95, 62-65 (1970; Zbl 0224.46042)] showed that this semi-norm on R and for signed measures, positive on the complement of the zero point, was equivalent with a certain Fourier semi-norm introduced by him. In the paper under review it is shown that there is also such an equivalence on \(R^{(k)}\). Reviewer: H.Bergström MSC: 60F99 Limit theorems in probability theory 28A99 Classical measure theory Keywords:Gaussian semi-norm; Fourier semi-norm Citations:Zbl 0224.46042 × Cite Format Result Cite Review PDF Full Text: DOI EuDML