Spectral asymptotics for Hill's equation near the potential maximum
Christoph März (1990)
Journées équations aux dérivées partielles
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Christoph März (1990)
Journées équations aux dérivées partielles
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Otto Liess (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Johannes Sjöstrand (2002-2003)
Séminaire Équations aux dérivées partielles
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C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ovidiu Costin, Rodica D. Costin (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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For the hypoelliptic differential operators introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of and left open in the analysis, the operators also fail to be analytic hypoelliptic (except for ), in accordance with Treves’ conjecture. The proof is constructive, suitable for generalization, and relies on evaluating a family of eigenvalues of a non-self-adjoint operator.