From Joda-Time userguide:
For instance, the direct way to get the day of week for a particular DateTime, involves calling the method
int iDoW = dt.getDayOfWeek();
where iDoW can take the values (from class DateTimeConstants).
public static final int MONDAY = 1;
public static final int TUESDAY = 2;
public static final int WEDNESDAY = 3;
public static final int THURSDAY = 4;
public static final int FRIDAY = 5;
public static final int SATURDAY = 6;
public static final int SUNDAY = 7;
...
Localized versions of these methods are also available, thus
DateTime.Property pDoW = dt.dayOfWeek();
String strTF = pDoW.getAsText(Locale.FRENCH); // returns "Lundi", etc.
EDIT
If using Default Locale
DateTime.Property pDoW = dt.dayOfWeek();
String strTF = pDoW.getAsText(Locale.getDefault());