This article is cited in 2 papers

Algebraic splines in locally convex spaces

A. P. Kolesnikov

Peoples Friendship University of Russia

Abstract: In a vector space of continuous functions, a variational solution of a finite system of linear functional equations is found. The locally convex topology on the vector space and the properties of the objective functional required for obtaining the solution in the form of a decomposition in the basis dual to the family of functionals of the system are determined. The basis elements are calculated exactly and called basis algebraic splines; their linear span is called the space of algebraic splines in the corresponding locally convex space.

UDC: 519.6

Received: 28.01.1999
Revised: 21.03.2002

DOI: 10.4213/mzm2497

 English version: Mathematical Notes, 2005, 77:3, 311–325

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