activity
20092022
most citedToeplitz Quantization and Asymptotic Expansions: Geometric Construction

4 citations · 12 across the 8 of their papers we have counts for

collaborators

11 papers

math.FA2022

Stratified Hilbert Modules on Bounded Symmetric Domains

Harald Upmeier

We analyze the "eigenbundle" (localization bundle) of certain Hilbert modules over bounded symmetric domains of rank giving rise to complex-analytic fibre spaces which are str…

math.FA2022

K-invariant Hilbert Modules and Singular Vector Bundles on Bounded Symmetric Domains

Harald Upmeier

We show that the "eigenbundle" (localization bundle) of certain Hilbert modules over bounded symmetric domains of rank r is a "singular" vector bundle (linearly fibrered complex an…

math.DG2020

A normal variety of invariant connections on hermitian symmetric spaces

Indranil Biswas, Harald Upmeier

We introduce a class of -invariant connections on a homogeneous principal bundle over a hermitian symmetric space . The parameter space carries the structure of norma…

math.FA2019

Toeplitz -Algebras on Boundary Orbits of Symmetric Domains

Gadadhar Misra, Harald Upmeier

We study Toeplitz operators on Hilbert spaces of holomorphic functions on symmetric domains, and more generally on certain algebraic subvarieties, determined by integration over bo…

math.FA2019

Singular Hilbert modules on Jordan-Kepler varieties

Gadadhar Misra, Harald Upmeier

We study submodules of analytic Hilbert modules defined over certain algebraic varieties in bounded symmetric domains, the so-called Jordan-Kepler varieties of arbitrary r…

math.CV2017

Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

Miroslav Engliš, Harald Upmeier

We study the complex geometry of generalized Kepler manifolds, defined in Jordan theoretic terms, introduce Hilbert spaces of holomorphic functions defined by radial measures, and…