remark 17.46 The quantum reading, in SI
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1805
· p. 692
- remark -- no derivation owed by its kind
Rests on
-
depends_on
theorem 17.43
Bandwidth theorem
¶
- depends_on equation 17.42 eq:ft-gaussian ¶
-
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 ¶
-
depends_on
definition 7.39
Darboux sums and the definite integral
¶
- proves proof ch:15-fourier-integral-transforms@proof-19 ¶
-
depends_on
theorem 17.36
Plancherel
¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶ ↺
-
depends_on
theorem 17.32
Fourier inversion
¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶ ↺
- depends_on equation 17.42 eq:ft-gaussian ¶ ↺
- proves proof ch:15-fourier-integral-transforms@proof-20 ¶
- proves proof ch:15-fourier-integral-transforms@proof-24 ¶
- proves proof ch:15-fourier-integral-transforms@proof-28 ¶
Supports
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Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik | derived | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1819 |
cites |
→ | Zur Quantenmechanik einfacher Bewegungstypen | derived | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1817 |
depends_on |
→ | Bandwidth theorem | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1831 |