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A note on the Pompeiu problem for convex domains

โœ Scribed by Leon Brown; Jean-Pierre Kahane


Publisher
Springer
Year
1982
Tongue
English
Weight
162 KB
Volume
259
Category
Article
ISSN
0025-5831

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The -Neumann operator on (0, q)-forms (1 q n) on a bounded convex domain 0 in C n is compact if and only if the boundary of 0 contains no complex analytic (equivalently: affine) variety of dimension greater than or equal to q.