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Superanalysis pp 109-182 | Cite as

Distribution Theory on an Infinite-Dimensional Superspace

  • Andrei Khrennikov
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 470)

Abstract

In this chapter we consider the general theory of a superspace, a superspace over commutative supermodules [65, 68]. As distinct from the superspace K n,mΛ, this superspace may contain an infinite number of commuting and anticommuting coordinates and serves as a natural mathematical foundation for Fermi quantum theory and the quantum theory of superfields, boson fields and strings with Faddeev-Popov anticommuting ghosts, superstrings, supergravitation, and quantum chromodynamics [7, 27, 28, 40, 42, 43, 52, 53, 75-86, 95]

Keywords

Banach Space Scalar Product Banach Algebra Distribution Theory Differential Calculus 
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 Dordrecht 1999

Authors and Affiliations

  • Andrei Khrennikov
    • 1
    • 2
  1. 1.Department of Mathematics, Statistics and Computer SciencesUniversity of VäxjöVäxjöSweden
  2. 2.Department of MathematicsMoscow State University of Electronic EngineeringZelenogradRussia

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