definition 17.50 Convolution
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1945
· p. 693
- ground object -- no derivation owed
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Supports
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depends_on
proposition 17.51
Algebra of convolution
¶
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depends_on
theorem 17.53
Convolution theorem
¶
- depends_on theorem 17.57 Wiener–Khinchin, finite-energy form ¶
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depends_on
theorem 10.62
The heat kernel
¶
- depends_on proposition 10.63 Infinite propagation speed ¶
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depends_on
theorem 17.53
Convolution theorem
¶
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depends_on
proposition 17.52
Linear translation-invariant systems
¶
- depends_on definition 28.25 Complex susceptibility ¶
- depends_on proposition 17.61 Mean-square response of a damped resonator ¶
- depends_on theorem 17.53 Convolution theorem ¶ ↺
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Algebra of convolution | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1961 |
depends_on |
← | Linear translation-invariant systems | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:1992 |
depends_on |
← | Convolution theorem | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2028 |