A Paley-Wiener theorem and Wiener-Hopf-type integral equations in Clifford analysis |
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Authors: | Swanhild Bernstein |
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Affiliation: | (1) Institute of Applied Mathematics I Department of Mathematics and Computer Science, University of Mining and Technologie, D-09596 Freiberg, Germany |
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Abstract: | Using the properties of the monogenic extension of the Fourier transform, we state a Paley-Wiener-type theorem for monogenic functions. Based on an multiplier algebra related to boundary values of monogenic functions we consider integral equations of Wiener-Hopf-typeK±u ±=f on ℝ n , whereK ∈S′ andu ± are boundary values of monogenic functions in ℝ+ n+1 and ℝ_ n+1 respectivly. |
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