proposition 9.52 Product coefficients for the Fourier system
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1767
· p. 293
Rests on
-
depends_on
definition 9.49
Structure constants of an orthonormal set
¶
- depends_on definition 9.45 Orthonormal set of functions ¶
-
depends_on
proposition 9.50
Coefficients of a product
¶
- depends_on definition 9.49 Structure constants of an orthonormal set ¶ ↺
-
depends_on
proposition 9.48
Expansion coefficients
¶
- depends_on definition 9.45 Orthonormal set of functions ¶ ↺
-
depends_on
definition 9.47
Orthonormal series expansion
¶
- depends_on definition 9.45 Orthonormal set of functions ¶ ↺
- proves proof ch:07-odes-sturm-liouville@proof-24 ¶
- proves proof ch:07-odes-sturm-liouville@proof-25 ¶
- proves proof ch:07-odes-sturm-liouville@proof-26 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Structure constants of an orthonormal set | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1783 |
depends_on |
→ | Coefficients of a product | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1783 |
proves |
← | ch:07-odes-sturm-liouville@proof-26 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1786 |