An introduction to S Bases in S Linear Algebra

  • David CARFI’ University of California Riverside

Abstract

In this lecture note we define the S bases for the spaces of tempered distributions.
These new bases are the analogous of Hilbert bases of separable Hilbert spaces for the continuous case (they are indexed by m-dimensional Euclidean spaces) and enjoy properties similar to those shown by algebraic bases in the finite dimensional case.
The S bases are one possible rigorous and extremely manageable mathematical model for the "physical" bases used in Quantum Mechanics.

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Published
2019-12-31
How to Cite
CARFI’, David. An introduction to S Bases in S Linear Algebra. Journal of Mathematical Economics and Finance, [S.l.], v. 5, n. 2, p. 35 - 49, dec. 2019. ISSN 2458-0813. Available at: <https://journals.aserspublishing.eu/jmef/article/view/4786>. Date accessed: 06 aug. 2020. doi: https://doi.org/10.14505/jmef.v5.2(9).03.