Volume 33, Issue 4
The Semi-Norms on the Schwartz Space

Dan Mu & Changmao Li

Ann. Appl. Math., 33 (2017), pp. 391-399.

Published online: 2022-06

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  • Abstract

Let $S(R^2)$ be the class of all infinitely differential functions which, as well as their derivatives, are rapidly decreasing on $R^2.$ Here we define a kind of semi-norms which is equivalent to the usual family of semi-norms on the Schwartz space $S(R^2).$

  • AMS Subject Headings

46A11

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COPYRIGHT: © Global Science Press

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@Article{AAM-33-391, author = {Mu , Dan and Li , Changmao}, title = {The Semi-Norms on the Schwartz Space}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {4}, pages = {391--399}, abstract = {

Let $S(R^2)$ be the class of all infinitely differential functions which, as well as their derivatives, are rapidly decreasing on $R^2.$ Here we define a kind of semi-norms which is equivalent to the usual family of semi-norms on the Schwartz space $S(R^2).$

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20619.html} }
TY - JOUR T1 - The Semi-Norms on the Schwartz Space AU - Mu , Dan AU - Li , Changmao JO - Annals of Applied Mathematics VL - 4 SP - 391 EP - 399 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20619.html KW - Schwartz space, semi-norms, equivalent. AB -

Let $S(R^2)$ be the class of all infinitely differential functions which, as well as their derivatives, are rapidly decreasing on $R^2.$ Here we define a kind of semi-norms which is equivalent to the usual family of semi-norms on the Schwartz space $S(R^2).$

Mu , Dan and Li , Changmao. (2022). The Semi-Norms on the Schwartz Space. Annals of Applied Mathematics. 33 (4). 391-399. doi:
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