References
- Boas RP. Entire functions. Vol. 5. New York (NY): Academic Press; 1954.
- Stein EM, Weiss GL. Introduction to Fourier analysis on Euclidean spaces. Vol. 1. Princeton (NJ): Princeton University Press; 1971.
- Kou K, Qian T. The Paley–Wiener theorem in ℝn with the Clifford analysis setting. J Funct Anal. 2002;189:227–241.
- Delanghe R, Sommen F, Soucek V. Clifford algebra and spinor-valued functions: a function theory for the Dirac operator. Mathematics and its applications. Dordrecht: Springer Netherlands; 2012.
- Morris AJ. Fourier and wavelet analysis of Clifford-valued functions [dissertation]. Newcastle: University of Newcastle; 2014.
- Hogan JA, Morris AJ. Quaternionic wavelets. Numer Funct Anal Optim. 2012;33:1031–1062.
- Brackx F, De Schepper N, Sommen F. The Clifford-Fourier transform. J Fourier Anal Appl. 2005;11:669–681.
- Suwa M, Yoshino K. A proof of the Paley–Wiener theorem for hyperfunctions with a convex compact support by the heat kernel method. Tokyo J Math. 2004;27:35–40.
- Sommen F. Some connections between Clifford analysis and complex analysis. Complex Var Theory Appl. 1982;1:97–118.
- Yang Y, Qian T. An elementary proof of the Paley–Wiener theorem in ℂm. Complex Var Elliptic Equ. 2006;51:599–609.
- McIntosh A. Clifford algebras, Fourier theory, singular integrals, and harmonic functions on Lipschitz domains. In: Ryan J, editor. Chapter 5, Clifford algebras in analysis and related topics. Boca Raton (FL): CRC Press; 1996. p. 33–88.
- López AB, Sánchez OL. The Clifford-Fourier transform ℱo and monogenic extensions. Adv Appl Clifford Algebras. 2010;21:757–772.
- Fu Y, Li L. Real Paley–Wiener theorems for the Clifford Fourier transform. Sci China Math. 2014;57:2381–2392.
- Felsberg M. Low-level image processing with the structure multivector. Kiel: Institut für Informatik und Praktische Mathematik; 2002.
- Brackx F, De Schepper N, Sommen F. The two-dimensional Clifford-Fourier transform. J Math Imaging Vision. 2006;26:5–18.
- De Bie H, Xu Y. On the Clifford-Fourier transform. Int Math Res Not. 2011;2011:5123–5163.
- Craddock MJ, Hogan JA. The fractional Clifford-Fourier kernel. J Fourier Anal Appl. 2013;19:683–711.
- Ryan J. Clifford analysis. In: Ablamowicz R, Sobczyk G, editors. Chapter 3, Lectures on Clifford (geometric) algebras and applications. Boston: Birkhauser; 2004. p. 53–89.
- Kheyfits AI. Phragmén–Lindelöf theorem for Clifford monogenic functions. Vol. 2, OCAMI studies. Osaka: Osaka Munich University Press; 2007. p. 237–240.
- Qian T. Paley–Wiener theorems and Shannon sampling in the Clifford analysis setting. In: Ablamowicz R, editor. Chapter 7, Clifford algebras: applications to mathematics, physics, and engineering. Boston: Birkhauser; 2004. p. 115–124.