theorem 17.98 Mellin convolution theorem
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3368
· p. 710
Rests on
- depends_on definition 17.92 Mellin transform ¶
- depends_on definition 17.97 Multiplicative convolution ¶
- proves proof ch:15-fourier-integral-transforms@proof-59 ¶
Supports
-
depends_on
corollary 17.99
Convolution on the unit interval
¶
- depends_on corollary 17.101 Coupled channels ¶
-
depends_on
corollary 102.50
Moments diagonalise the evolution
¶
- depends_on proposition 116.26 The asymptotic sharing of momentum ¶
-
depends_on
theorem 17.100
Moments diagonalise a convolution evolution
¶
- depends_on corollary 17.101 Coupled channels ¶ ↺
Neighborhood
Every logical edge within two steps of this node.
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- partly declared
- a check failed
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Mellin transform | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3378 |
depends_on |
→ | Multiplicative convolution | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3378 |
depends_on |
← | Convolution on the unit interval | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3422 |
proves |
← | ch:15-fourier-integral-transforms@proof-59 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3381 |