The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis

An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory.

Bibliographic Details
Main Authors: Jeremy Becnel, Ambar Sengupta
Format: Article
Language:English
Published: MDPI AG 2015-06-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/3/2/527
Description
Summary:An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory.
ISSN:2227-7390