Norm convergent expansion for -valued Gaussian random elements
T. Byczkowski (1979)
Studia Mathematica
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Displaying similar documents to “On the space of vector-valued functions integrable with respect to the white noise”
Norm convergent expansion for -valued Gaussian random elements
Some recent results on the law of the iterated logarithm for Banach space valued random variables
J. Kuelbs (1978)
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Random integrals of Banach space valued functions
J. Rosiński (1984)
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Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)
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Studia Mathematica
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Integral representation of Gaussian measures.
Nicolae Dinculeanu (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Conditionally positive definite functions on linear spaces
W. Mlak (1983)
Annales Polonici Mathematici
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Gaussian measures on spaces, 0 ≤ p < ∞
T. Byczkowski (1977)
Studia Mathematica
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Sums of independent Banach space valued random variables (after J. Hoffmann-Jørgensen)
S. Kwapien (1972-1973)
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Theorems of Thron's type for random-valued vector functions and the Krein-Rutman theorem
Rafał Kapica (2005)
Annales Polonici Mathematici
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We propose stochastic versions of some theorems of W. J. Thron [14] on the speed of convergence of iterates for random-valued functions on cones in Banach spaces.
Random Fourier series on locally compact abelian groups
Michael B. Marcus, Gilles Pisier (1979)
Séminaire de probabilités de Strasbourg
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On the bounded laws of iterated logarithm in Banach space
Dianliang Deng (2010)
ESAIM: Probability and Statistics
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In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.
On small deviation probabilities of positive random variables.
Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Bilinear random integrals
Jan Rosiński
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CONTENTSI. Introduction.....................................................................................................................................................................5II. Preliminaries...................................................................................................................................................................7 1. Infinitely divisible probability measures on Banach spaces..........................................................................................7 2....
The invariance principle for group-valued random variables
T. Byczkowski (1976)
Studia Mathematica
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Sparse recovery with pre-Gaussian random matrices
Simon Foucart, Ming-Jun Lai (2010)
Studia Mathematica
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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.