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Paley—Wiener Theorems and Shannon Sampling in the Clifford Analysis Setting

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Book cover Clifford Algebras

Part of the book series: Progress in Mathematical Physics ((PMP,volume 34))

Abstract

This paper is concerned with the classical Paley—Wiener theorems in one and several complex variables, the generalization to Euclidean spaces in the Clifford analysis setting and their proofs. We prove a new Shannon sampling theorem in the Clifford analysis setting.

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© 2004 Birkhäuser Boston

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Qian, T. (2004). Paley—Wiener Theorems and Shannon Sampling in the Clifford Analysis Setting. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_7

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  • DOI: https://doi.org/10.1007/978-1-4612-2044-2_7

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3525-1

  • Online ISBN: 978-1-4612-2044-2

  • eBook Packages: Springer Book Archive

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