Title of article :
An algebraic approach to tempered distributions
Author/Authors :
Atanasiu، نويسنده , , Dragu and Mikusi?ski، نويسنده , , Piotr and Nemzer، نويسنده , , Dennis، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
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.
Keywords :
Tempered distributions , Schwartz distributions , Convolution quotients , Fourier transform , Pseudoquotients
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
