An Extension Theorem for Real Analytic Solutions to Relative Hyperbolic Systems

J. Math. Sci. Univ. Tokyo
Vol. 13 (2006), No. 2, Page 113--127.

Koshimizu, Hiroshi
An Extension Theorem for Real Analytic Solutions to Relative Hyperbolic Systems
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Abstract:
We give a vanishing result for the cohomologies of solution complexes to microlocally relative hyperbolic systems. As an application, we prove a Bochner-type extension theorem on real analytic solutions to such systems.

Mathematics Subject Classification (2000): Primary 32C38,35A27,35B60
Mathematical Reviews Number: MR2277517

Received: 1998-09-18