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Pré-Publication, Document De Travail Année : 2010

Finite deficiency indices and uniform remainder in Weyl's law

Luc Hillairet

Résumé

We give a proof that in settings where Von Neumann deficiency indices are finite the spectral counting functions of two different self-adjoint extensions of the same symmetric operator differ by a uniformly bounded term (see also Birman-Solomjak's 'Spectral Theory of Self-adjoint operators in Hilbert Space') . We apply this result to quantum graphs, pseudo-laplacians and surfaces with conical singularities.
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Dates et versions

hal-00445686 , version 1 (11-01-2010)
hal-00445686 , version 2 (19-01-2010)

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Citer

Luc Hillairet. Finite deficiency indices and uniform remainder in Weyl's law. 2010. ⟨hal-00445686v2⟩
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