Functional superanalysis

DOI10.1070/RM1988v043n02ABEH001713zbMath0665.46031OpenAlexW4238189273MaRDI QIDQ3816546

Andrei Yu. Khrennikov

Publication date: 1988

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1988v043n02abeh001713

zbMATH Keywords

analysis of functions on superspaces over a commutative Banach superalgebracommutative supermoduleFeynman and Gaussian distributions on a superspaceHilbert superspace of states of a quantum system with bosonic and fermionic coordinatespseudodifferential operators in the superanalysis

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Path integrals in quantum mechanics (81S40) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivatives of functions in infinite-dimensional spaces (46G05) Topological algebras, normed rings and algebras, Banach algebras (46H99) Dual, triple, etc., integral and series equations (45F10)

Related Items (16)

p-adic quantum mechanics with p-adic valued functions ⋮ The theory of non-Archimedean generalized functions and its applications to quantum mechanics and field theory ⋮ Distributions and partial differential equations on superspace ⋮ Ideal structure for superconformal semigroups ⋮ Gaussian measures on linear spaces ⋮ Analysis on the p-adic superspace. I. Generalized functions: Gaussian distribution ⋮ Analysis on superspace: an overview ⋮ A contribution to nonstandard superanalysis ⋮ Foundations of analysis on superspace. I: Differential calculus ⋮ Even sectors of Lie superalgebras as locally convex Lie algebras ⋮ On enlargability of infinite-dimensional Lie superalgebras ⋮ p-adic superanalysis. I. Infinitely generated Banach superalgebras and algebraic groups ⋮ Functional Representations for Fock Superalgebras ⋮ On the structure of DeWitt supermanifolds ⋮ Soul expansion of G∞ superfunctions ⋮ Differential equations with supersymmetric time

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