Real Paley‐Wiener theorem for the octonion Fourier transform
Yong Li, Guangbin Ren
Abstract
For the octonion Fourier transform, we establish the real Paley‐Wiener theorem. It relates the mean of derivatives of a function with the support of its octonion Fourier transform via for any octonion‐valued Sobolev function .
Topics & Concepts
MathematicsFourier transformFourier inversion theoremFractional Fourier transformDiscrete Fourier transform (general)Mathematical analysisHartley transformFourier analysisPure mathematicsAlgebraic and Geometric AnalysisMathematical Analysis and Transform MethodsMathematics and Applications