TY - JOUR

T1 - Extremal properties of orthogonal parallelepipeds and their applications to the geometry of banach spaces

AU - Gluskin, E. D.

PY - 1989/2/28

Y1 - 1989/2/28

N2 - It is proved that the distribution function for the maximum of the modulus of a set of jointly Gaussian random variables with given variance and zero mean is minimal if these variables are independent. For let As a corollary of the result mentioned, the precise orders of the constants are computed, and various improvements of these inequalities are obtained. The estimates are used in particular to construct lacunary analogues of the Rudin-Shapiro trigonometric polynomials.

AB - It is proved that the distribution function for the maximum of the modulus of a set of jointly Gaussian random variables with given variance and zero mean is minimal if these variables are independent. For let As a corollary of the result mentioned, the precise orders of the constants are computed, and various improvements of these inequalities are obtained. The estimates are used in particular to construct lacunary analogues of the Rudin-Shapiro trigonometric polynomials.

UR - http://www.scopus.com/inward/record.url?scp=0002542941&partnerID=8YFLogxK

U2 - 10.1070/SM1989v064n01ABEH003295

DO - 10.1070/SM1989v064n01ABEH003295

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AN - SCOPUS:0002542941

SN - 0025-5734

VL - 64

SP - 85

EP - 96

JO - Mathematics of the USSR - Sbornik

JF - Mathematics of the USSR - Sbornik

IS - 1

ER -