Convolutions for Berezin quantization and Berezin-Lieb inequalities
Convolutions for Berezin quantization and Berezin-Lieb inequalities
Notions and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, is identified as the appropriate setting for Berezin quantization and Berezin-Lieb inequalities. Based on this insight we provide a rigorous approach to generalized phase-space representation introduced by Klauder-Skagerstam and their variants …