Whether Variable pushes filter to Data Foundation level

Hi,

We use a Calculation View that consumes four analytical views (through Union).

We would like to know whether creating a Variable on the Calculation View level will push the filter to Analytical View level also.

We tried creating a Variable in the underlying Analytical Views and try to propagate to upper level Calculation View, but HANA does not recognize the Variables from underlying Analytical Views.

HANA however recognizes the Input Parameters created in underlying Analytical Views. But we cannot use the Input Parameters as it does not support list of values (to be displayed in OLAP Analysis reporting layer)

Our queries here are:

1. Whether Variable pushes the filter to the Data Foundation level of a View
2. Whether Variable created in a Calculation View pushes the filter further down to the Data Foundation levels of Analytical Views that it is referencing
3. Whether Input Parameter can have List of Values?

Thanks and Regards,

Ram