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

Jeremy Becnel and Ambar Sengupta
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Jeremy Becnel: Department of Mathematics, Stephen F. Austin State University, PO Box 13040 SFA Station, Nacogdoches, TX 75962, USA
Ambar Sengupta: Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

Mathematics, 2015, vol. 3, issue 2, 1-36

Abstract: 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.

Keywords: quantum mechanics; Schwartz space; test functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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