Moltiplicatori spettrali per l'operatore di Ornstein-Uhlenbeck

Mauceri, Giancarlo

Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 3, pp. 563-591.

Riassunto (VO)

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.

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