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Book synopsis

This book gives 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. The multivariate problems turn out to be much more difficult than their univariate counterparts. Recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents results and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many important open problems in the book will provide both students and professionals ideas for further research.

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Hyperbolic Cross Approximation
• Author: Dinh Dung, Vladimir Temlyakov, Tino Ullrich, Sergey Tikhonov
• Language: English
• Binding: Paperback
• Number of pages: 218
• EAN: 9783319922393
• ISBN: 3319922394
• ID: 19381945
• Publisher: Birkhauser Verlag AG
• Weight: 406 g
• Dimensions: 240 × 169 × 11 mm
• Date of publishing: 13. November 2018

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