Modulation Spaces

Notions of real, functional and Fourier analysis.- Modulation spaces.- Equivalent definitions of modulation spaces.- Pseudodifferential operators.- Weighted modulation spaces.- Modulation spaces and other function spaces.- Applications to partial differential equations.- A proof of Banach''s fixed point theorem.- The Picard-Lindel├╢f and Peano theorems.- Gronwall''s lemma.- Local well-posedness of NLS on Sobolev spaces.