Excerpt from New York state law, Section 400:

Applications shall be made and renewed, in the case of a license to carry or possess a pistol or revolver, to the licensing officer in the city or county, as the case may be, where the applicant resides… Before a license is issued or renewed, there shall be an investigation of all statements required in the application by the duly constituted police authorities of the locality where such application is made, including but not limited to such records as may be accessible to the division of state police or division of criminal justice services pursuant to section 400.02 of this article… Applications for licenses shall be accepted for processing by the licensing officer at the time of presentment. Except upon written notice to the applicant specifically stating the reasons for any delay, in each case the licensing officer shall act upon any application for a license pursuant to this section within six months of the date of presentment of such an application to the appropriate authority…

A license [to own a handgun] may be revoked and cancelled… by any judge or justice of a court of record; a license issued pursuant to section 400.01 of this article may be revoked and cancelled at any time by the licensing officer or any judge or justice of a court of record. The official revoking a license shall give written notice thereof without unnecessary delay to the executive department, division of state police, Albany, and shall also notify immediately the duly constituted police authorities of the locality.