A B737-500 HAD THE HORIZ STABILIZER CTR SECTION HINGE PIN ENGINEERING AUTH WORK ACCOMPLISHED. INSPECTOR SIGNED AIRWORTHINESS RELEASE. NEXT DAY FAA DISCOVERED MISSING INSPECTOR AND TECHNICIAN SIGNOFFS.

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ITEM IN QUESTION WAS ISSUED ON ACFT X. IN A REVIEW OF THE ENGINEERING AUTH IT WAS NOTED THAT THERE WERE MECH; AND INSPECTION SIGNOFFS NOT SIGNED AND I ISSUED AN AIRWORTHINESS SIGNOFF ON THE ACFT NOT KNOWING THEY WEREN'T SIGNED. AT SHIFT TURN OVER WHEN I WAS COMING ON DUTY WAS TOLD THAT THE WORK CARDS WERE COMPLIED WITH DOWN TO CLOSE UP OF PANELS LISTED ON THE ENGINEERING AUTH. I ISSUED THE WORK TO CLOSE UP THE PANELS ON THE ACFT; UPON COMPLETION OF THE TASK; I VERIFIED ALL DOCUMENTS WERE ACCOUNTED FOR AND THAT THE JOB CARDS WERE COMPLIED WITH IN THE COMPUTER; I THEN ISSUED THE AIRWORTHINESS SIGNOFF ON THE ACFT LOGBOOK FORM XXX; THE ACFT WAS THEN PUSHED OUT OF THE HANGAR ONTO THE PAD WHERE IT WAS SUPPOSEDLY READY. THE NEXT DAY IT WAS NOTED THAT THE SIGNOFFS IN QUESTION WERE NOT COMPLIED WITH BUT THE TASK WAS COMPLIED WITH; THE TECH AND INSPECTOR WERE CONTACTED AND ASKED TO COMPLY WITH THE SIGNOFFS. THIS HAD ALL TAKEN PLACE BEFORE THE ACFT WAS PUT ON A TRIP. I HAVE SINCE RECEIVED A LETTER FROM MR X OF THE FAA SAFETY INSPECTION ABOUT THE MATTER IN QUESTION AND I AM NOW TRYING TO GET IN TOUCH WITH MR X TO DISCUSS THE INCIDENT IN QUESTION.