Dang, Pei; Mai, Weixiong; Qian, Tao On monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type. (English) Zbl 1502.30139 Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 50, 29 p. (2022). Summary: In the Clifford algebra setting the present study develops three reproducing kernel Hilbert spaces of the Paley-Wiener type, namely the Paley-Wiener spaces, the Hardy spaces on strips, and the Bergman spaces on strips. In particular, we give spectrum characterizations and representation formulas of the functions in those spaces and estimation of their respective reproducing kernels. MSC: 30G35 Functions of hypercomplex variables and generalized variables 15A66 Clifford algebras, spinors 46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) Keywords:reproducing kernel; Paley-Wiener theorem; monogenic function; Fourier spectrum PDFBibTeX XMLCite \textit{P. Dang} et al., Adv. Appl. 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