Dual n 1 -Appell-like Systems in Infinite-Dimensional Analysis
Abstract
We introduce and study dual
n
1
-Appell-like systems which are the simple generalization of generalized dual Appell systems in Infinite-Dimensional Analysis (IDA). We study connected with these systems objects of IDA: the analogues of Kondratiev spaces,
S
-transform, characterization theorems etc. The results we obtained are useful to application in the theory of probability.