An approximative solution of the generalized eigenvalue problem
Tomáš Kojecký (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Tomáš Kojecký (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Vlasta Peřinová (1969)
Matematický časopis
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Ivo Marek (1967)
Časopis pro pěstování matematiky
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Johannes Sjöstrand (1980)
Annales de l'institut Fourier
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Let be a selfadjoint classical pseudo-differential operator of order with non-negative principal symbol on a compact manifold. We assume that is hypoelliptic with loss of one derivative and semibounded from below. Then exp, , is constructed as a non-classical Fourier integral operator and the main contribution to the asymptotic distribution of eigenvalues of is computed. This paper is a continuation of a series of joint works with A. Menikoff.