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About: Boehmians     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatGeneralizedFunctions, within Data Space : dbpedia.org associated with source document(s)

Type: Thingyago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Relation100031921yago:WikicatGeneralizedFunctions New Facet based on Instances of this Class

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 . The original construction of Boehmians gives us a space of generalized functions that includes all regular operators and has the algebraic character of convolution quotients. On the other hand, it includes all distributions eliminating the restriction of regular operators to .