Ridge functions / Allan Pinkus.

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Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data...

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Bibliographic Details
Main Author: Pinkus, Allan, 1946- (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2015.
Series:Cambridge tracts in mathematics ; 205.
Subjects:
Function spaces.
Multivariate analysis.
Numbers, Real.
Physical Description:x, 207 pages : illustrations ; 24 cm.
Format: Book
Contents:
  • Introduction
  • Smoothness
  • Uniqueness
  • Indentifying functions and directions
  • Polynomial ridge functions
  • Density and representation
  • Closure
  • Existence and characterization of best approximations
  • Approximation algorithms
  • Integral representations
  • Interpolation at points
  • Interpolation on lines.