Moltiplicatori spettrali per l'operatore di Ornstein-Uhlenbeck

Mauceri, Giancarlo

Bollettino dell'Unione Matematica Italiana, Tome 7-A (2004), p. 563-591 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

Questa è una rassegna di alcuni risultati recenti sui moltiplicatori spettrali dell'operatore di Ornstein-Uhlenbeck, un laplaciano naturale sullo spazio euclideo munito della misura gaussiana. I risultati sono inquadrati nell'ambito della teoria generale dei moltiplicatori spettrali per laplaciani generalizzati.

Abstract

This is a survey of some recent results on spectral multipliers for the Ornstein-Uhlenbeck operator, a natural Laplacian on the Euclidean space endowed with the Gauss measure. The results are discussed in the framework of the general theory of spectral multipliers for generalized Laplacians.

Détail

Publié le : 2004-10-01

MR 2101652 | Zbl 1182.47038

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