Lower Order Terms in Szegö Type Limit Theorems on Zoll Manifolds†
نویسندگان
چکیده
منابع مشابه
Lower Order Terms in Szegö Type Limit Theorems on Zoll Manifolds
We compute the third order term in a generalization of the Strong Szegö Limit Theorem for a zeroth order pseudodifferential operator (PsDO) on a Zoll manifold of an arbitrary dimension. In [GO2], the second order term was computed by V. Guillemin and K. Okikiolu. In the present paper, an important role is played by a certain combinatorial identity which we call the generalized Hunt–Dyson formul...
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We give an outline of the computation of the third order term in a generalization of the Strong Szegö Limit Theorem for a zeroth order pseudodifferential operator (PsDO) on a Zoll manifold of an arbitrary dimension, see [Gi2] for the detailed proof. This is a refinement of a result by V. Guillemin and K. Okikiolu who have computed the second order term in [GO2]. An important role in our proof i...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2003
ISSN: 0360-5302,1532-4133
DOI: 10.1081/pde-120024531