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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jeremy Becnel & Ambar Sengupta, 2015. "The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis," Mathematics, MDPI, vol. 3(2), pages 1-36, June.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:2:p:527-562:d:51248
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    Cited by:

    1. Sergei Aliukov & Anatoliy Alabugin & Konstantin Osintsev, 2022. "Review of Methods, Applications and Publications on the Approximation of Piecewise Linear and Generalized Functions," Mathematics, MDPI, vol. 10(16), pages 1-43, August.

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