EntityQ1119094· pop 8· linked from 35 articlesPaley–Wiener theoremSign in to saveany of a family of theorems relating decay properties of a function or distribution at infinity with analyticity of its Fourier transformConnectionssupportEntitymathematicsEntityInternational Standard Book NumberEntitycomplex numberEntityQ178577EntityFourier transformEntityLaplace transformEntityif and only ifEntityholomorphic functionEntitytriangle inequality theoremEntityharmonic analysisEntityLaurent SchwartzEntitycontrol theoryEntityanalytic functionEntitycompact spaceEntityLars HörmanderEntityCauchy–Riemann equationsEntityentire functionEntitydistributionEntityLp spaceEntityCategoriesGeneralized functionsHardy spacesTheorems in complex analysisTheorems in Fourier analysis