Norm convergent expansion for -valued Gaussian random elements
T. Byczkowski (1979)
Studia Mathematica
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Displaying similar documents to “Gaussian measures on spaces, 0 ≤ p < ∞”
Norm convergent expansion for -valued Gaussian random elements
Zero-one laws for Gaussian measures on metric abelian groups
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For an m × N underdetermined system of linear equations with independent pre-Gaussian random coefficients satisfying simple moment conditions, it is proved that the s-sparse solutions of the system can be found by ℓ₁-minimization under the optimal condition m ≥ csln(eN/s). The main ingredient of the proof is a variation of a classical Restricted Isometry Property, where the inner norm becomes the ℓ₁-norm and the outer norm depends on probability distributions.
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