Equivariant asymptotics for Toeplitz operators

  title={Equivariant asymptotics for Toeplitz operators},
  author={Roberto Paoletti},
In recent years, the Tian-Zelditch asymptotic expansion for the equivariant components of the Szegö kernel of a polarized complex projective manifold, and its subsequent generalizations in terms of scaling limits, have played an important role in algebraic, symplectic, and differential geometry. A natural question is whether there exist generalizations in which the projector onto the spaces of holomorphic sections can be replaced by the projector onto more general (noncomplete) linear series… CONTINUE READING
0 Extracted Citations
9 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-9 of 9 references

Zelditch, Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds

  • S. B. Shiffman
  • J. Reine Angew. Math
  • 2002

Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles, Harmonic analysis at Mount Holyoke (South Hadley, MA

  • M. Christ
  • 2001

Semiclassical spectral estimates for Toeplitz operators

  • A. Uribe
  • Ann . Inst . Fourier ( Grenoble )
  • 1998

Semiclassical spectral estimates for Toeplitz operators, Ann

  • BPU D. Borthwick, T. Paul, A. Uribe
  • Inst. Fourier (Grenoble)
  • 1998

Zelditch, Szegö kernels and a theorem of Tian

  • Z S.
  • Int. Math. Res. Not
  • 1998

On a set of polarized Kähler metrics on algebraic manifolds

  • G. Tian
  • J. Differential Geom
  • 1990

The spectral theory of Toeplitz operators

  • BG L. Boutet de Monvel, V. Guillemin
  • Annals of Mathematics Studies,
  • 1981

Hörmander, The spectral function of an elliptic operator

  • H L.
  • Acta Math
  • 1968

Similar Papers

Loading similar papers…