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

Author: Becnel Jeremy   Sengupta Ambar  

Publisher: MDPI

E-ISSN: 2227-7390|3|2|527-562

ISSN: 2227-7390

Source: Mathematics, Vol.3, Iss.2, 2015-06, pp. : 527-562

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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.