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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Geometry of the local Phragmén-Lindelöf condition in three variables
by
Rüdiger W. Braun
Heinrich-Heine-Universität Düsseldorf
Coauthors: Reinhold Meise (Heinrich-Heine-Universität Düsseldorf), B. A. Taylor (University of Michigan)

Constant coefficient partial differential operators P(D) acting on the space of all real analytic functions on Rn are considered. It is investigated whether for each right hand side g , real analytic on Rn , there is a solution f , real analytic on Rn , of P(D)f = g . Hörmander has characterized this behavior in terms of local Phragmén-Lindelöf conditions. In the talk, a characterization in geometric terms will be given. This description will be expressed with the help of hyperbolicity conditions in conoids around certain tangents to the variety of the symbol.

(T)

Date received: April 14, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caey-45.