Foundations of analysis on superspace. I: Differential calculus

DOI10.1134/S2070046615020028zbMath1344.46056MaRDI QIDQ498710

Andrei Yu. Khrennikov

Publication date: 29 September 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

superspacesupersymmetrysuperanalysisBanach superalgebra

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Supersymmetry and quantum mechanics (81Q60) Applications of functional analysis in quantum physics (46N50) Fuzzy functional analysis (46S40) Miscellaneous topics in real functions (26E99)

Cites Work

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• Graded manifold theory as the geometry of supersymmetry
• Superanalysis, I. Differential calculus
• On \(p\)-adic mathematical physics
• \(p\)-adic valued quantization
• Superanalysis. II: Integral calculus
• Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
• The Feynman principle for a Fermi system
• Functional superanalysis
• Super Lie groups: global topology and local structure

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