Fourier transform,

5 Novembro 2019, 10:00 Manuel Duque Pereira Monteiro Marques

The Fourier transform in the Schwartz space: continuity and inverse Fourier. 

Extension of the Fourier transform to L^2 (R^N): Plancherel and Parseval formulas.
The dual space of tempered distributions S'(R^N): definition and Fourier transform.