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Function Spaces

  • Michael E. Starzak

Abstract

A vector in an N-dimensional space can always be resolved into components on a set of basis vectors. These basis vectors are linearly independent and span the N-dimensional space. Many of the properties of such finite-dimensional spaces can be extended to a study of vector spaces with an infinite number of dimensions. These spaces utilize continuous functions as basis vectors.

Keywords

Basis Function Scalar Product Function Space Basis Vector Function Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Michael E. Starzak
    • 1
  1. 1.State Univeristy of New York at BinghamtonBinghamtonUSA

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