Optimal representation of multivariate functions or data in visualizable low-dimensional spaces

DOI10.1007/BF03183384zbMath1043.45007OpenAlexW2049005904MaRDI QIDQ1428857

D. Massart

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03183384

zbMATH Keywords

eigenvaluesnonlinear integral equationoptimal approximationgradient operatorsmultivariate functionsorthonormal system of eigenfunctionslow dimensional spaces

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Eigenvalue problems for integral equations (45C05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Obstructions to the imbedding of a complex in a euclidean space. I: The first obstruction
• Geometry of Banach spaces. Selected topics
• A Sufficient Condition for an Integral Operator to Have a Trace.
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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