Basic Definitions and Operations

  • Alexander I. Saichev
  • Wojbor A. Woyczyński
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


The notion of a distribution (or a generalized function—the term often used in other languages) is a comparatively recent invention, although the concept is one of the most important in mathematical areas with physical applications. By the middle of the 20th century, the theory took final shape, and distributions are commonly used by physicists and engineers today.


Compact Support Delta Function Differentiable Function Regular Function Heaviside Function 
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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • Alexander I. Saichev
    • 1
  • Wojbor A. Woyczyński
    • 2
  1. 1.Radio Physics DepartmentUniversity of Nizhniy NovgorodNizhniy NovgorodRussia
  2. 2.Department of Statistics and Center for Stochastic and Chaotic Processes in Science and TechnologyCase Western Reserve UniversityClevelandUSA

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