Finite Sums Decompositions in Mathematical Analysis

Finite Sums Decompositions in Mathematical Analysis

by Themistocles M. Rassias, Jaromir Simsa


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Combines comprehensive coverage of both past and current research. Deals with representations and approximations of functions in several variables in terms of finite sums of factor functions' results in a lesser number of variables. One of the basic questions treated is closely connected with the 13th problem of David Hilbert which concerns the solvability of algebraic equations.

Product Details

ISBN-13: 9780471948278
Publisher: Wiley
Publication date: 07/11/1995
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #25
Pages: 178
Product dimensions: 6.18(w) x 9.33(h) x 0.75(d)

Table of Contents

Functional Determinants.

Basic Decomposition Theorems for Functions of Two Variables.

Decompositions of Functions of Several Variables.

Finite-Dimensional Spaces of Smooth Functions.

Decompositions of Smooth Functions on Manifolds.

Approximate Decompositions of Smooth Functions.

The Best L 2-Approximations of Two-Place Functions.

Geometry of the d'Alembert Equation.

Open Problems.


General Notation.


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