ON DEFINING S-SPACES

The present work is intended to be an introduction to the Superposition Theory of David Carfì. In particular I shall depict the meaning of his brand new theory, on the one hand in an informal fashion and on the other hand by giving a formal approach of the algebraic structure of the theory: the S-l...

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Main Author: Francesco Strati
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2013-05-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Subjects:
Online Access:http://dx.doi.org/10.1478/AAPP.91S2B2
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spelling doaj-80e2690bf150488db1d97f7488e8330a2020-11-24T21:03:02ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422013-05-0191S2B210.1478/AAPP.91S2B2AAPP.91S2B2ON DEFINING S-SPACESFrancesco Strati0 Academy of Advanced Scientific Studies, Dirac Group - Mathematics, 89100 Reggio Calabria, Italy The present work is intended to be an introduction to the Superposition Theory of David Carfì. In particular I shall depict the meaning of his brand new theory, on the one hand in an informal fashion and on the other hand by giving a formal approach of the algebraic structure of the theory: the S-linear algebra. This kind of structure underpins the notion of S-spaces (or Carfì-spaces) by defining both its properties and its nature. Thus I shall define the S-triple as the fundamental principle upon which the S-linear algebra is built up.http://dx.doi.org/10.1478/AAPP.91S2B2Schwartz spacesGeneralized functionsDistribution spacesTopological vector spacesS-Linear Algebra
collection DOAJ
language English
format Article
sources DOAJ
author Francesco Strati
spellingShingle Francesco Strati
ON DEFINING S-SPACES
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Schwartz spaces
Generalized functions
Distribution spaces
Topological vector spaces
S-Linear Algebra
author_facet Francesco Strati
author_sort Francesco Strati
title ON DEFINING S-SPACES
title_short ON DEFINING S-SPACES
title_full ON DEFINING S-SPACES
title_fullStr ON DEFINING S-SPACES
title_full_unstemmed ON DEFINING S-SPACES
title_sort on defining s-spaces
publisher Accademia Peloritana dei Pericolanti
series Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn 0365-0359
1825-1242
publishDate 2013-05-01
description The present work is intended to be an introduction to the Superposition Theory of David Carfì. In particular I shall depict the meaning of his brand new theory, on the one hand in an informal fashion and on the other hand by giving a formal approach of the algebraic structure of the theory: the S-linear algebra. This kind of structure underpins the notion of S-spaces (or Carfì-spaces) by defining both its properties and its nature. Thus I shall define the S-triple as the fundamental principle upon which the S-linear algebra is built up.
topic Schwartz spaces
Generalized functions
Distribution spaces
Topological vector spaces
S-Linear Algebra
url http://dx.doi.org/10.1478/AAPP.91S2B2
work_keys_str_mv AT francescostrati ondefiningsspaces
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