EAN: 9783319922393

ADVANCED COURSES IN MATHEMATICS - CRM BARCELONA...

This book provides a systematic survey of classical and recent results on hyperbolic cross
approximation. Motivated by numerous applications  the last two decades have seen great success
in studying multivariate approximation. Multivariate problems have proven to be considerably
more difficult than their univariate counterparts  and recent findings have established that
multivariate mixed smoothness classes play a fundamental role in high-dimensional
approximation. The book presents essential findings on and discussions of linear and nonlinear
approximations of the mixed smoothness classes. Many of the important open problems explored
here will provide both students and professionals with inspirations for further research.

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