If January starts a quarter the following checkbox formula should be works :
OR(
/* When the year is similar between the date field and current year */
AND(
YEAR( DateField__c ) = YEAR( TODAY() ),
OR(
/* Check if is the date field is on the same quarter of today */
CEILING( MONTH( DateField__c) / 3 ) = CEILING( MONTH( TODAY() ) / 3 ),
/* Or if the date field + one month is on the same quarter of today */
AND (CEILING( MONTH( ADDMONTHS(DateField__c,1) ) / 3 ) = CEILING( MONTH( TODAY() ) / 3 ), MONTH( DateField__c ) < 12)
)
),
/* And we manage the case of the december of previous year */
AND(
YEAR( DateField__c ) = YEAR( TODAY() )-1,
MONTH( DateField__c) = 12,
CEILING( MONTH( TODAY() ) / 3 ) = 1
)
)
In your list view add this checkbox formula in your filter with "true" value.