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Commutative topological algebras on translation-invariant reproducing kernel Hilbert spaces
Miguel Angel Rodriguez Rodriguez
We study commutative topological algebras naturally associated with translation-invariant reproducing kernel Hilbert spaces whose direct integral decomposition has one-dimensional…
Operators in the Fock-Toeplitz algebra
Wolfram Bauer, Robert Fulsche, Miguel Angel Rodriguez Rodriguez
We consider various classes of bounded operators on the Fock space of Gaussian square integrable entire functions over the complex plane. These include Toeplitz (type) operat…
Commutative -invariant Toeplitz C algebras on the Fock space and their Gelfand theory through Quantum Harmonic Analysis
Robert Fulsche, Miguel Angel Rodriguez Rodriguez
We discuss the notion of spectral synthesis for the setting of Quantum Harmonic Analysis. Using these concepts, we study subalgebras of the full Toeplitz algebra with certain invar…