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.
Beurling,Sur les int´ egrales de Fourier absolument convergentes et leur application ` a une transformation fonctionnelle, Arne Beurling: Collected works, vol
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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.