proof ch:15-fourier-integral-transforms@proof-25

open in the book · parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1547

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proof : ch:15-fourier-integral-transforms@proof-25proofproposition 17.39: The transform preserves S17.39definition 17.38: Schwartz space and tempered distributions17.38proposition 17.30: Elementary properties17.30theorem 17.32: Fourier inversion17.32definition 17.40: Transform and derivative of a distribution17.40

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proves The transform preserves $\mathcal{S}$ declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1547