lemma 17.70 Jordan's lemma on the Bromwich contour
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2536
· p. 700
Rests on
-
depends_on
lemma 8.9
ML estimate
¶
- depends_on equation 8.6 eq:cpx-contour-integral ¶
- proves proof ch:06-complex-analysis@proof-4 ¶
- proves proof ch:15-fourier-integral-transforms@proof-43 ¶
Supports
-
depends_on
corollary 17.71
Residue evaluation and causality
¶
- depends_on corollary 17.76 Heaviside's expansion theorem ¶
- depends_on proposition 17.77 Poles and stability ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | ML estimate | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2548 |
depends_on |
← | Residue evaluation and causality | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2578 |
proves |
← | ch:15-fourier-integral-transforms@proof-43 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2551 |