An algebraic approach to tempered distributions

作者：Atanasiu Dragu; Mikusinski Piotr^*; Nemzer Dennis

来源：Journal of Mathematical Analysis and Applications, 2011, 384(2): 307-319.

DOI：10.1016/j.jmaa.2011.05.064

• Pseudoquotients
• Convolution quotients
• Fourier transform
• Schwartz distributions
• Tempered distributions

A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered distributions on R(N). The Fourier transform is defined as a map from the space of pseudoquotients to the space of tempered distributions and as a transformation on pseudoquotients.

• 出版日期2011-12-15