Representation of functions as the Post-Widder inversion operator of generalized functions

Representation of functions as the Post-Widder inversion operator of generalized functions

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A study Mirror Brackets and Accessories (Specific to Truck) is made of the Post-Widder inversion operator to a class of generalized functions in the sense of distributional convergence.Necessary and sufficient conditions are proved for a given function to have the representation as the rth operate of the Post-Widder inversion operator of generalized functions.Some representation theorems are also proved.Certain results concerning the testing function space and its dual are established.

A fundamental theorem regarding the Girls 1st Day of School Set existence of the real inversion operator (1.6) with r=0 is proved in section 4.A classical inversion theory for the Post-Widder inversion operator with a few other theorems which are fundamental to the representation theory is also developed in this paper.