Geodesic
Spectral Theory of the Hermite Operator on Lp(Rn)
X. Duan1
1 Department of Mathematics and Statistics, York University 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 39-43.

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We prove that the minimal operator and the maximal operator of the Hermite operator are the same on Lp(ℝn) , 4 / 3 4. The domain and the spectrum of the minimal operator (=maximal operator) of the Hermite operator on Lp(ℝn), 4/3 4, are computed. In addition, we can give an estimate for the Lp-norm of the solution to the initial value problem for the heat equation governed by the minimal (maximal) operator for 4/34.
DOI : 10.1051/mmnp/20149503

X. Duan 1

1 Department of Mathematics and Statistics, York University 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada 
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X. Duan. Spectral Theory of the Hermite Operator on Lp(Rn). Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 39-43. doi : 10.1051/mmnp/20149503. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149503/

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