  Two transformations $\mathcal{A}_{1}$ and $\mathcal{A}_{2}$ of L\'{e}vy
measures on $\mathbb{R}^{d}$ based on the arcsine density are studied and their
relation to general Upsilon transformations is considered. The domains of
definition of $\mathcal{A}_{1}$ and $\mathcal{A}_{2}$ are determined and it is
shown that they have the same range. Infinitely divisible distributions on
$\mathbb{R}^{d}$ with L\'{e}vy measures being in the common range are called
type $A$ distributions and expressed as the law of a stochastic integral
$\int_0^1\cos (2^{-1}\pi t)dX_t$ with respect to L\'{e}vy process $\{X_t\}$. \
This new class includes as a proper subclass the Jurek class of distributions.
It is shown that generalized type $G$ distributions are the image of type $A$
distributions under a mapping defined by an appropriate stochastic integral.
$\mathcal{A}_{2}$ is identified as an Upsilon transformation, while
$\mathcal{A}_{1}$ is shown to be not.
