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Mathematics 2015, 3(2), 527-562; doi:10.3390/math3020527

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

Department of Mathematics, Stephen F. Austin State University, PO Box 13040 SFA Station, Nacogdoches, TX 75962, USA
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
Author to whom correspondence should be addressed.
Academic Editor: Palle E. T. Jorgensen
Received: 17 April 2015 / Accepted: 3 June 2015 / Published: 16 June 2015
(This article belongs to the Special Issue Mathematical physics)
View Full-Text   |   Download PDF [335 KB, uploaded 16 June 2015]


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. View Full-Text
Keywords: quantum mechanics; Schwartz space; test functions quantum mechanics; Schwartz space; test functions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Becnel, J.; Sengupta, A. The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis. Mathematics 2015, 3, 527-562.

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