4 papers
Boundedness in Strict Deformation Quantization
Michael Heins
This paper provides a complex-analytic interpretation of certain topologies on the tensor algebra, which are a central tool within strict deformation quantization. We prove that th…
Convergent Twist Deformations
Chiara Esposito, Michael Heins, Stefan Waldmann
This paper establishes a functorial framework for convergence of Drinfeld's Universal Deformation Formula (UDF) on spaces of analytic vectors. This is accomplished by matching the…
Entire Functions on Lie Groups
Michael Heins
Every Lie group carries a distinguished algebra of particularly well-behaved real-analytic mappings: The entire functions . They were introduced for the purpose…
A Holomorphic perspective of Strict Deformation Quantization
Michael Heins
We provide and discuss complex analytic methods for overcoming the formal character of formal deformation quantization. This is a necessity for returning to physically meaningful s…