Seminars: A. A. Tolchennikov, The trace formula for the squared resolvent and the exponential of the Laplace--Beltrami operator on decorated graphs

SEMINARS


Differential operators on singular spaces, algebraically integrable systems and quantization November 7, 2016, Moscow

The trace formula for the squared resolvent and the exponential of the Laplace–Beltrami operator on decorated graphs A. A. Tolchennikov
Abstract: We consider the trace of the squared resolvent and construct its expansion as the spectral parameter tends to infinity (results of Svetlana Roganova). Due to the singular structure of decoratoed graph, the expansion of trace contains powers of the spectral parameter and its logarithm.