theorem 17.13 du Bois-Reymond
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:559
· p. 678
Rests on
-
depends_on
lemma 17.6
Dirichlet kernel
¶
- depends_on definition 17.1 Fourier coefficients and Fourier series ¶
-
depends_on
lemma 17.2
Orthogonality of the harmonics
¶
- depends_on definition 17.1 Fourier coefficients and Fourier series ¶ ↺
- proves proof ch:15-fourier-integral-transforms@proof-1 ¶
- proves proof ch:15-fourier-integral-transforms@proof-4 ¶
-
depends_on
lemma 17.12
Divergence of the Lebesgue constants
¶
- depends_on lemma 17.6 Dirichlet kernel ¶ ↺
- proves proof ch:15-fourier-integral-transforms@proof-10 ¶
- proves proof ch:15-fourier-integral-transforms@proof-11 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Untersuchungen über die Convergenz und Divergenz der Fourierschen Darstellungsformeln | derived | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:561 |
depends_on |
→ | Dirichlet kernel | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:562 |
depends_on |
→ | Divergence of the Lebesgue constants | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:562 |
proves |
← | ch:15-fourier-integral-transforms@proof-11 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:565 |