Gross Laplacian Acting on Operators

• Autores: Samah Horrigue, Habib Ouerdiane
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 105, Nº. 2, 2009, págs. 227-239
• Idioma: inglés
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• Resumen

  • In this paper, we introduce a noncommutative extension of the Gross Laplacian, called quantum Gross Laplacian, acting on some analytical operators. For this purpose, we use a characterization theorem between this class of operators and their symbols. Applying the quantum Gross Laplacian to the particular case where the operator is the multiplication one, we establishes a relation between the classical and the quantum Gross Laplacians.