By Prof. Dr. Gennadi M. Henkin, Prof. Dr. Jürgen Leiterer (auth.)

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**Example text**

If aT =

6) for r=O, ... , n-1. 5. Proposition. Let D cc Cn be a domain with almost c1 boundary, and let v be a Leray map for D. 9) 1~r~n-1 (x,thaDx[O, 1] and Rvf = 0 if r=O or r=n. Proof. 5. 6. The operators Tv. 7. Theorem (Cauchy-Fantappie formula for functions). Let D cc ~be a domain with almost c1 boundary, and let v be a Leray map for D. Then, for any continuous complex-valued function f on D such that is also continuous on D, we have the representation at on D. 10) ~In Sect. 11. 7 is given, for instance, in Sect.

K 1 ) of integers l~k 1 < ...