Marius Mantoiu Modulation and Hilbert Space Representations for Rieffel's Pseudodiferential Calculus (217K, pdf) ABSTRACT. We define modulation maps and modulation spaces of symbols suited to the study of Rieffel's pseudodifferential calculus. They are used to generate Hilbert space representations for the quantized C*-algebras starting from covariant representations of the corresponding twisted C*-dynamical system.