Accession Number : AD0681400

Title :   ON H SUPERSCRIPT m-EXTENSION OF FUNCTIONS AND SPLINE INTERPOLATION. II. REPRESENTATIONS OF THE EXTERNAL H SUPERSCRIPT m EXTENSIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Golomb,Michael

Report Date : NOV 1967

Pagination or Media Count : 27

Abstract : The external H - extensions of functions that are H superscript m-extendable form the Hilbert space (S superscript m) (A) of H superscript m-splines with knots in A. In this paper, a complete orthonormal system, the reproducing kernel, and a nonorthogonal basis of (S superscript m) (A) are obtained. Other schemes for computing extremal H superscript m-extensions are developed. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), INTERPOLATION, HILBERT SPACE, SERIES(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE