This volume presents a systematic and mathematically rigorous
exposition of methods for studying linear partial differential
equations. It focuses on quantization of the corresponding objects
(states, observables and canonical transformations) in the phase
space. The quantization of all three types of classical objects is
carried out in a unified way with the use of a special integral
transform. This book covers recent as well as established results,
treated within the framework of a universal approach. It also
includes applications and provides a useful reference text for
graduate and research-level readers.
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