Translator Disclaimer
Sept 2003 GENERALIZED QUOTIENTS WITH APPLICATIONS IN ANALYSIS
PIOTR MIKUSIÂSKI
Methods Appl. Anal. 10(3): 377-386 (Sept 2003).

Abstract

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.

Citation

Download Citation

PIOTR MIKUSIÂSKI. "GENERALIZED QUOTIENTS WITH APPLICATIONS IN ANALYSIS." Methods Appl. Anal. 10 (3) 377 - 386, Sept 2003.

Information

Published: Sept 2003
First available in Project Euclid: 21 June 2004

MathSciNet: MR2059942

Rights: Copyright © 2003 International Press of Boston

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.10 • No. 3 • Sept 2003
Back to Top