Ito, Yoshifumi Fourier transformation of \(L^2_{loc}\)-functions. (English) Zbl 1343.42008 J. Math., Tokushima Univ. 49, 39-58 (2015). MSC: 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 42A85 Convolution, factorization for one variable harmonic analysis 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 42B37 Harmonic analysis and PDEs 46F20 Distributions and ultradistributions as boundary values of analytic functions 35J10 Schrödinger operator, Schrödinger equation Keywords:Fourier transform; convolution; local Sobolev spaces; Schrödinger equations PDFBibTeX XMLCite \textit{Y. Ito}, J. Math., Tokushima Univ. 49, 39--58 (2015; Zbl 1343.42008)