Paley-Wiener theorems for the two-sided quaternion Fourier transform (Q2361407)

The author summarizes the contents of this paper in the abstract of the paper as follows: In this paper we establish new real Paley-Wiener theorems for the two-sided quaternion Fourier transform. Next, we prove the Roe's theorem in the context of the quaternion-valued functions. Finally we study the tempered distributions with spectral gaps.