Published December 31, 1998 | Version v1
Journal article

Extremal properties of discrete measures, the universal sequence, and the duality principle

  • 1. International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow (Russian Federation)
  • 2. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

Description

A new proof of results on the universal sequence and extremal properties of discrete measures is given on the basis of the duality principle. These results were earlier obtained by the same authors in the solution of certain maximum problems arising in mathematical geophysics. The transition to the dual minimum problems reveals the geometric meaning of these results and opens the way to their generalization

Availability note (English)

Available from http://dx.doi.org/10.1070/SM1998v189n11ABEH000366

Additional details

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
189
Journal Issue
11
Journal Page Range
p. 1587-1610
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073241
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DUALITY; GEOPHYSICS; MATHEMATICAL SOLUTIONS
Descriptors DEC
PHYSICS