Superanalysis: Theory of generalized functions and pseudodifferential operators

DOI10.1007/BF01041914zbMath0665.46032MaRDI QIDQ1116048

Andrei Yu. Khrennikov

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

distribution of an infinite superspaceFeynman super-measuresuper- pseudodifferential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Path integrals in quantum mechanics (81S40) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Analysis on the p-adic superspace. I. Generalized functions: Gaussian distribution ⋮ Trotter's formula for the heat conduction and Schrödinger equations in a non-Archimedean superspace ⋮ Short story of the term “algebraic analysis”

Cites Work

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• Particle spin dynamics as the Grassmann variant of classical mechanics
• Feynman's path integral. Definition without limiting procedure
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Super Lie groups: global topology and local structure

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