%0 Journal Article %T The Fischer Decomposition for the H-action and Its Applications %A Roman Lavicka %J Mathematics %D 2010 %I arXiv %X Recently the Fischer decomposition for the H-action of the Pin group on Clifford algebra valued polynomials has been obtained. We apply this tool to get various decompositions of special monogenic and inframonogenic polynomials in terms of two sided monogenic ones. %U http://arxiv.org/abs/1002.0527v1