N.Y. SCP. LAW § 1602 : NY Code - Section 1602: Ancillary probate based upon domiciliary probate 1

A written will which upon probate may operate upon any property in
  this  state shall be admitted to probate by the surrogate's court having
  jurisdiction over the property upon proof that it has been  admitted  to
  probate at the testator's domicile or has been established in accordance
  with  the  law of such jurisdiction, and if its probate or establishment
  remains subject to contest under the law of  his  domicile,  upon  proof
  that  it  is not being contested thereat.  A will so admitted to probate
  under this section is sufficient to operate on any property  within  the
  terms of the will, subject to any limitations upon its operation imposed
  by  the  law  of  the  testator's domicile in respect of legal capacity.
  Rights granted by the law of the domicile to take against the  will  are
  not affected by this section.
    2.    A  will  offered for probate under this section may be contested
  only upon the ground that the conditions prescribed herein have not been
  satisfied or that the will has been denied probate in this state.