Finite sums decompositions in mathematical analysis

Bibliographic Information

Finite sums decompositions in mathematical analysis

Themistocles M. Rassias and Jaromír Šimša

(Pure and applied mathematics)

J. Wiley, c1995

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Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

Finite sums decompositions problems are relevant to many areas of mathematical analysis, particularly integral equations, ordinary and partial differential equations and approximation theory. The method involves characterizing the products of functions of more than one variable in terms of one variable. The authors of this monograph are at the forefront of research in this area. They guide readers through proofs and techniques in a concise manner which should benefit all researchers working in the area.

Table of Contents

  • Functional Determinants
  • Basic Decomposition Theorems for Functions in Two Variables
  • Decompositions of Functions in Several Variables
  • Finite-Dimensional Spaces of Smooth Functions
  • Decomposition of Smooth Functions on Manifolds
  • Approximate Decompositions of Smooth Functions
  • The Best L(squared) - Approximate Decompositions of Functions in Two Variables.

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