Boehmians: Difference between revisions

{{distinguish|Bohemians}}

{{Orphan|date=September 2016}}

{{no footnotes|date=May 2011}}

 

In [[mathematics]], '''Boehmians''' are objects obtained by an abstract algebraic construction of "quotients of sequences." The original construction was motivated by regular operators introduced by T. K. Boehme. Regular operators are a subclass of Mikusiński operators, that are defined as equivalence classes of convolution quotients of functions on <math>[0,\infty )</math>. The original construction of Boehmians gives us a space of [[generalized function]]s that includes all regular operators and has the algebraic character of convolution quotients. On the other hand, it includes all [[Distribution (mathematics)|distributions]] eliminating the restriction of regular operators to <math>[0,\infty )</math>.