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Infinite order decoupling of random chaoses in Banach space - MaRDI portal

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Infinite order decoupling of random chaoses in Banach space

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Publication:6503540

arXivmath/9211212MaRDI QIDQ6503540

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Abstract: We prove a number of decoupling inequalities for nonhomogeneous random polynomials with coefficients in Banach space. Degrees of homogeneous components enter into comparison as exponents of multipliers of terms of certain Poincar'e-type polynomials. It turns out that the fulfillment of most of types of decoupling inequalities may depend on the geometry of Banach space.





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