New york constitution
Article VI: judiciary
Section 1

c. All processes, warrants and other mandates of the court of appeals, the supreme court including the appellate divisions thereof, the court of claims, the county court, the surrogate's court and the family court may be served and executed in any part of the state. All processes, warrants and other mandates of the courts or court of civil and criminal jurisdiction of the city of New York may, subject to such limitation as may be prescribed by the legislature, be served and executed in any part of the state. The legislature may provide that processes, warrants and other mandates of the district court may be served and executed in any part of the state and that processes, warrants and other mandates of town, village and city courts outside the city of New York may be served and executed in any part of the county in which such courts are located or in any part of any adjoining county.