GENERALIZED QUOTIENTS WITH APPLICATIONS IN ANALYSIS
MIKUSIÂSKI, PIOTR
Methods Appl. Anal., Tome 10 (2003) no. 3, p. 377-386 / Harvested from Project Euclid
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Starting from a nonempty set X and a commutative semigroup G acting on X we construct a new space B(X,G) whose algebraic character is similar to a quotient field. The construction of the quotient field from an integral domain is a special case of our construction. Other interpretations of the construction include the space of Schwartz distributions of finite order, tempered distributions, Radon measures, and Boehmians. ¶ In this paper we describe the construction of B(X,G), discuss some general properties of B(X,G), and present some applications of the construction.
Publié le : 2003-08-14
Classification:  
@article{1087841035,
     author = {MIKUSI\^ASKI, PIOTR},
     title = {GENERALIZED QUOTIENTS WITH APPLICATIONS IN ANALYSIS},
     journal = {Methods Appl. Anal.},
     volume = {10},
     number = {3},
     year = {2003},
     pages = { 377-386},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087841035}
}

MIKUSIÂSKI, PIOTR. GENERALIZED QUOTIENTS WITH APPLICATIONS IN ANALYSIS. Methods Appl. Anal., Tome 10 (2003) no. 3, pp.  377-386. http://gdmltest.u-ga.fr/item/1087841035/