Vol. 150, No. 2, 1991

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Sur la rigidité comparée de fonctions, distributions, ou hyperfonctions analytiques par rapport à un groupe de variables

J. A. Marti

Vol. 150 (1991), No. 2, 359–382
Abstract

The rigidity of some analytical or partially analytical objects: functions, distributions and hyperfunctions whose support has a compactness property is studied by the mean of testing families called “suites d’unicite”. The lack of rigidity of partially analytical hyperfunctions with arbitrary support is also discussed by using a weakened form of a Sato’s conjecture and a special type of valuation operator.

Mathematical Subject Classification 2000
Primary: 32A45
Secondary: 46F15
Milestones
Received: 21 November 1989
Revised: 8 May 1990
Published: 1 October 1991
Authors
J. A. Marti