On the asymptotic eigenvalue distribution of a pseudo-differential operator.

نویسندگان

  • C Fefferman
  • D H Phong
چکیده

A description of the number N(K) of eigenvalues less than K for a pseudo-differential operator with positive symbol is given in terms of the number of unit cubes canonically imbedded in the subset of phase space where the symbol is less than CK. This gives back in particular the order of magnitude of N(K) for elliptic symbols.

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عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 77 10  شماره 

صفحات  -

تاریخ انتشار 1980