Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 15 (2020), 1 -- 137

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A MATHEMATICAL PRESENTATION OF LAURENT SCHWARTZ'S DISTRIBUTIONS

Josefina Alvarez

Abstract. This is a mathematical presentation of Laurent Schwartz's distributions.

2020 Mathematics Subject Classification: 46F05; 46F10; 46F12.
Keywords: Distributions, test functions, derivatives, tensor product, convolution product, multiplicative product, Fourier transform.

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Josefina Alvarez
Department of Mathematical Sciences,
New Mexico State University,
Las Cruces, NM 88003, USA.
e-mail: jalvarez@nmsu.edu

http://www.utgjiu.ro/math/sma