How can I get the names of days of week in JodaTime

Looks like a job for DateTimeFormat

I would start with

 DateTime dt = new DateTime();
 DateTimeFormatter fmt = DateTimeFormat.forPattern("EEEE"); // use 'E' for short abbreviation (Mon, Tues, etc)
 String strEnglish = fmt.print(dt);
 String strFrench = fmt.withLocale(Locale.FRENCH).print(dt);
 String strWhereverUR = fmt.withLocale(Locale.getDefault()).print(dt);

and go from there

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());