A Paley-Wiener theorem and Wiener-Hopf-type integral equations in Clifford analysis |
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| Authors: | Swanhild Bernstein |
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| Institution: | (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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| Keywords: | |
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