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The Two-Dimensional Convolution Theorem
2003Just as in one dimension, the convolution theorem in two dimensions plays a pervasive role wherever linearity and shift invariance are simultaneously present. In one dimension shift invariance most commonly means time invariance. A time-invariant system has the property that the response to an input impulse is independent of epoch.
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A supplement to the Convolution Theorem
Journal of Statistical Planning and Inference, 1991Abstract It is shown that n 1 2 (K( n )( x )-K(P))-n - 1 2 Σ n v =1 K ∗ (x v ,P),nϵ N , is asymptotically stochastically independent of n - 1 2 Σ n v =1g(x v ) ,nσ , N for any g in the tangent space.
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
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Experimental quantum key distribution certified by Bell's theorem
Nature, 2022David Nadlinger +2 more
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Limit Theorem for Convolutions.
Biometrika, 1964S. J. Taylor, Harold Bergstrom
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Integrability Theorems for Convolutions
Journal of the London Mathematical Society, 1978openaire +2 more sources
Limit Theorems for Convolutions.
Journal of the American Statistical Association, 1964O. Barndorff-Nielsen, Harold Bergstrom
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