A new family of reproducing kernel Hilbert algebras of holomorphic functions over infinite-dimensional domains is introduced via Gaussian measures and shown to support bounded twisted canonical commutation relations.
Gr¨ ochenig,Weight functions in time-frequency analysis, Pseudodifferential operators: Partial differential equa- tions and time-frequency analysis, 2007, pp
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On Algebras of Functions over Infinite Dimensions
A new family of reproducing kernel Hilbert algebras of holomorphic functions over infinite-dimensional domains is introduced via Gaussian measures and shown to support bounded twisted canonical commutation relations.