Superanalysis pp 109-182 | Cite as

Distribution Theory on an Infinite-Dimensional Superspace

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


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]


Banach Space Scalar Product Banach Algebra Distribution Theory Differential Calculus 
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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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