Basic Definitions and Operations

  • Alexander I. SaichevEmail author
  • Wojbor Woyczynski
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.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Mathematical DepartmentState University of Nizhny NovgorodNizhny NovgorodRussia
  2. 2.Math, Applied Math, & Stat, Yost 229Case Western Reserve UniversityClevelandUSA

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