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- W2149479499 abstract "We give an elementary proof of the Paley–Wiener theorem in several complex variables using Clifford algebra. Thanks to the extension of the exponential function , where x is extended to , and ξ is extended to C m , the proof of the theorem in one complex variable based on analytic continuation is closely followed to give a proof for several complex variables. This shows that with the help of Clifford algebras multi-variable cases may be treated similarly as the single variable case. †Dedicated to Richard Delanghe on the occasion of his 65th birthday." @default.
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- W2149479499 date "2006-05-01" @default.
- W2149479499 modified "2023-09-27" @default.
- W2149479499 title "An elementary proof of the Paley–Wiener theorem in Cm" @default.
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- W2149479499 doi "https://doi.org/10.1080/17476930500483224" @default.
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