Some remarks on the Weyl asymptotics by the approximate spectral projection method
Buzano, Ernesto
Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000), p. 775-792 / Harvested from Biblioteca Digitale Italiana di Matematica
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In questo lavoro studiamo il resto relativo della formula asintotica per gli autovalori di un operatore differenziale in Rn, ottenuta mediante il metodo delle proiezioni spettrali approssimate ([3], Theorem 6.2). In un primo tempo diamo un controesempio di un operatore di Schrödinger con potenziale a crescita algebrica, per il quale il resto non è limitato. Quindi specifichiamo alcune condizioni addizionali da imporre all'operatore in modo da avere un resto infinitesimo.

Publié le : 2000-10-01
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     author = {Ernesto Buzano},
     title = {Some remarks on the Weyl asymptotics by the approximate spectral projection method},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3-A},
     year = {2000},
     pages = {775-792},
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     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_3_775_0}
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Buzano, Ernesto. Some remarks on the Weyl asymptotics by the approximate spectral projection method. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 775-792. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_3_775_0/

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