Monogenic plane waves and the W-functional calculus.

In this paper, we introduce some integral transforms that map slice monogenic functions to monogenic functions. We then show that one of these integral transforms, which is based on the Cauchy formula of slice monogenic functions, is useful to define a functional calculus depending on a parameter for n-tuples of bounded operators. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]