example 17.31 The three standard pairs

open in the book · parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1258 · p. 686

example -- no derivation owed by its kind

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depends_on definition 17.29 Fourier transform; the treatise convention ¶
depends_on proposition 17.30 Elementary properties ¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶ ↺
- depends_on equation 7.28 eq:ana-parts ¶
- depends_on lemma 17.7 Riemann–Lebesgue ¶
  - depends_on definition 7.39 Darboux sums and the definite integral ¶
    - depends_on axiom 7.1 Completeness of $\R$ ¶
  - proves proof ch:15-fourier-integral-transforms@proof-5 ¶
- proves proof ch:15-fourier-integral-transforms@proof-19 ¶

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type	direction	node	provenance	where
`depends_on`	→	Fourier transform; the treatise convention	declared	parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1299
`depends_on`	→	Elementary properties	declared	parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1299