# CSASC 2013

9-13 June 2013
Koper, Slovenia
UTC timezone
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# Spectral properties of the $\overline \partial$-Neumann operator

Presented by Prof. Friedrich HASLINGER
Type: Oral presentation
Track: Several Complex Variables

## Content

The spectrum of the $\overline \partial$-Neumann Laplacian on the Fock space $L^2(\mathbb C^n, e^{-|z|^2})$ is explicitly computed. It turns out that it consists of positive integer eigenvalues each of which is of infinite multiplicity. Spectral analysis of the $\overline \partial$-Neumann Laplacian on the Fock space is closely related to Schr\"odinger operators with magnetic field and to the complex Witten-Laplacian.

## Place

Location: Koper, Slovenia

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