Abstract
A new approach to superanalysis, based on the function theory in Banach spaces and Banach algebraic theory is developed. The superanalysis must satisfy some general requirements. It must contain the classical analysis as a special case. The superspace must consist of points, similar to the points of R and C spaces; the commutation Banach ..lambda.. superalgebra must play at that the role of real or complex numbers. Commutating and anticommutating variables must be included into the basic notions on equal grounds. The superspace must be constructed on the base (besides Grassman algebra) of random both finite-dimensional and infinite-dimensional commutation Banach superalgebra. The differential calculus is presented in the framework of this superanalysis.
Citation Formats
Vladimirov, V S, and Volovich, I V.
Superanalysis. Differential calculus.
USSR: N. p.,
1984.
Web.
Vladimirov, V S, & Volovich, I V.
Superanalysis. Differential calculus.
USSR.
Vladimirov, V S, and Volovich, I V.
1984.
"Superanalysis. Differential calculus."
USSR.
@misc{etde_6089751,
title = {Superanalysis. Differential calculus}
author = {Vladimirov, V S, and Volovich, I V}
abstractNote = {A new approach to superanalysis, based on the function theory in Banach spaces and Banach algebraic theory is developed. The superanalysis must satisfy some general requirements. It must contain the classical analysis as a special case. The superspace must consist of points, similar to the points of R and C spaces; the commutation Banach ..lambda.. superalgebra must play at that the role of real or complex numbers. Commutating and anticommutating variables must be included into the basic notions on equal grounds. The superspace must be constructed on the base (besides Grassman algebra) of random both finite-dimensional and infinite-dimensional commutation Banach superalgebra. The differential calculus is presented in the framework of this superanalysis.}
journal = []
volume = {59:1}
journal type = {AC}
place = {USSR}
year = {1984}
month = {Apr}
}
title = {Superanalysis. Differential calculus}
author = {Vladimirov, V S, and Volovich, I V}
abstractNote = {A new approach to superanalysis, based on the function theory in Banach spaces and Banach algebraic theory is developed. The superanalysis must satisfy some general requirements. It must contain the classical analysis as a special case. The superspace must consist of points, similar to the points of R and C spaces; the commutation Banach ..lambda.. superalgebra must play at that the role of real or complex numbers. Commutating and anticommutating variables must be included into the basic notions on equal grounds. The superspace must be constructed on the base (besides Grassman algebra) of random both finite-dimensional and infinite-dimensional commutation Banach superalgebra. The differential calculus is presented in the framework of this superanalysis.}
journal = []
volume = {59:1}
journal type = {AC}
place = {USSR}
year = {1984}
month = {Apr}
}