Local trace formulae and scaling asymptotics in Toeplitz quantization, II

Details Local trace formulae and scaling asymptotics in Toeplitz quantization, II Local trace formulae and scaling asymptotics in Toeplitz quantization, II

2011-03-16

arxiv.org/abs/1103.3303v2

Mathematics

Symplectic Geometry

Typos corrected. Slight expository changes

Scientific paper

In the spectral theory of positive elliptic operators, an important role is played by certain smoothing kernels, related to the Fourier transform of the trace of a wave operator, which may be heuristically interpreted as smoothed spectral projectors asymptotically drifting to the right of the spectrum. In the setting of Toeplitz quantization, we consider analogues of these, where the wave operator is replaced by the Hardy space compression of a linearized Hamiltonian flow, possibly composed with a family of zeroth order Toeplitz operators. We study the local asymptotics of these smoothing kernels, and specifically how they concentrate on the fixed loci of the linearized dynamics.

Affiliated with

Also associated with

No associations

Rating

Local trace formulae and scaling asymptotics in Toeplitz quantization, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local trace formulae and scaling asymptotics in Toeplitz quantization, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local trace formulae and scaling asymptotics in Toeplitz quantization, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-247265