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
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spelling doaj-540a217aee2746c7b5948d2ad6b5324e2020-11-24T23:10:43ZengMDPI AGMathematics2227-73902015-06-013252756210.3390/math3020527math3020527The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional AnalysisJeremy Becnel0Ambar Sengupta1Department of Mathematics, Stephen F. Austin State University, PO Box 13040 SFA Station, Nacogdoches, TX 75962, USADepartment of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USAAn 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.http://www.mdpi.com/2227-7390/3/2/527quantum mechanicsSchwartz spacetest functions
collection DOAJ
language English
format Article
sources DOAJ
author Jeremy Becnel
Ambar Sengupta
spellingShingle Jeremy Becnel
Ambar Sengupta
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
Mathematics
quantum mechanics
Schwartz space
test functions
author_facet Jeremy Becnel
Ambar Sengupta
author_sort Jeremy Becnel
title The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
title_short The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
title_full The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
title_fullStr The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
title_full_unstemmed The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
title_sort schwartz space: tools for quantum mechanics and infinite dimensional analysis
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2015-06-01
description 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.
topic quantum mechanics
Schwartz space
test functions
url http://www.mdpi.com/2227-7390/3/2/527
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