IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Sobolev spaces associated to the harmonic oscillator
Autor/es:
B. BONGIOANNI, J.L. TORREA
Revista:
Proceedings of the Indian Academy of Sciences - Mathematical Sciences
Referencias:
Año: 2006 vol. 116 p. 337 - 360
ISSN:
0253-4142
Resumen:
We define the Hermite Sobolev spaces naturally associated to the harmonic oscillator $H= -Delta +|x|^2.$ Structural properties, relations with theclassical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schr"odinger equation are also considered.