Multivariate Approximation Theory II

Mathematicians met at the Oberwolfach Mathematical Research Institute in the Black Forest from February 8 to 12, 1982, for the third international symposium on multivariate approximation theory. Earlier meetings on the subject had been held in 1976 and 1979. Some 50 researchers from 14 countries took part.

This volume preserves most of the papers presented there. Its contents range across approximation by polynomials in Sobolev spaces, biorthogonal systems and orthogonal series in several variables, multivariate splines, group-theoretic and functional-analytic methods, positive linear operators, error estimates for approximation procedures and cubature formulas, Boolean methods in multivariate interpolation, and the numerical use of summation procedures. The gathering paid particular attention to how multivariate approximation is applied across different scientific fields.

The editors dedicate the proceedings to Arthur Sard, who had contributed to the earlier conferences and was a friend to many attendees. He died in August 1980, and his absence from the symposium was keenly felt. The volume includes a short account of his life and mathematical work.

A footnote cites an earlier proceedings, "Constructive Theory of Functions of Several Variables," edited by W. Schempp and Karl Zeller and issued as a volume in the Lecture Notes in Mathematics series. The source gives no volume number.