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math.FA2024★ 1 cited
Decoupling for Schatten class operators in the setting of Quantum Harmonic Analysis
Helge Jørgen Samuelsen
We introduce the notion of decoupling for operators, and prove an equivalence between classical decoupling for functions and decoupling for operat…
math.FA2024
Fourier restriction for Schatten class operators and functions on phase space
Franz Luef, Helge Jørgen Samuelsen
We formulate a variant of Fourier restriction for operators in Schatten classes, where the Fourier-Wigner transform of a bounded operator replaces the Fourier transform of a functi…