definition 17.92 Mellin transform
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3205
· p. 708
- ground object -- no derivation owed
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Supports
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depends_on
corollary 17.99
Convolution on the unit interval
¶
- depends_on corollary 17.101 Coupled channels ¶
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depends_on
corollary 102.50
Moments diagonalise the evolution
¶
- depends_on proposition 116.26 The asymptotic sharing of momentum ¶
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depends_on
theorem 17.100
Moments diagonalise a convolution evolution
¶
- depends_on corollary 17.101 Coupled channels ¶ ↺
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depends_on
theorem 17.98
Mellin convolution theorem
¶
- depends_on corollary 17.99 Convolution on the unit interval ¶ ↺
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depends_on
theorem 17.93
Fundamental strip and holomorphy
¶
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depends_on
theorem 17.94
Mellin inversion
¶
- depends_on proposition 17.96 Poles give asymptotics ¶
- depends_on theorem 17.100 Moments diagonalise a convolution evolution ¶ ↺
-
depends_on
theorem 17.94
Mellin inversion
¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Convolution on the unit interval | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3422 |
depends_on |
← | Mellin convolution theorem | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3378 |
depends_on |
← | Fundamental strip and holomorphy | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3228 |