Foundations of Time-Frequency Analysis

Time-frequency analysis is a modern branch of harmonic analysis. It comprises all those parts of mathematics and its applications that use the structure of translations and modulations (or time-frequency shifts) for the analysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and symmetrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. T...