A comparison on the commutative neutrix convolution of distributions and the exchange formula
Adem Kiliçman (2001)
Czechoslovak Mathematical Journal
Similarity:
Let , be ultradistributions in and let and where is a sequence in which converges to the Dirac-delta function . Then the neutrix product is defined on the space of ultradistributions as the neutrix limit of the sequence provided the limit exist in the sense that for all in . We also prove that the neutrix convolution product exist in , if and only if the neutrix product exist in and the exchange formula is then satisfied.