Albrecht, E. ; Ricker, W.

Studia Mathematica, Tome 129 (1998), p. 23-52 / Harvested from The Polish Digital Mathematics Library

Résumé

The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in $L^p(ℝ^N)$. The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is achieved via a combination of methods from the theory of Fourier multipliers and local spectral theory.

Détail

Publié le : 1998-01-01

Zbl 0920.47016

EUDML-ID : urn:eudml:doc:216539

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