Hilbert Modules and Complex Geometry

Davidson, Kenneth R.; Douglas, Ronald G.; Eschmeier, Jörg; Upmeier, Harald

doi:10.4171/OWR/2014/21

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Volume 11, Issue 2, 2014, pp. 1139–1219

DOI: 10.4171/OWR/2014/21

Published online: 2015-02-27

Hilbert Modules and Complex Geometry

Kenneth R. Davidson^[1], Ronald G. Douglas^[2], Jörg Eschmeier and Harald Upmeier^[3]

(1) University of Waterloo, Canada
(2) Texas A&M University, College Station, USA
(3) Philipps-Universität, Marburg, Germany

The major topics discussed in the workshop were Hilbert modules of analytic functions on domains in Cn, Toeplitz and Hankel operators, reproducing kernel Hilbert spaces and multiplier algebras, the interplay of complex geometry and operator theory, non-commutative function theory and operator theory, Hilbert bundles on symmetric spaces.

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Davidson Kenneth R., Douglas Ronald, Eschmeier Jörg, Upmeier Harald: Hilbert Modules and Complex Geometry. Oberwolfach Rep. 11 (2014), 1139-1219. doi: 10.4171/OWR/2014/21