During the time the books of the annual record of the assessed valuation of real estate remain open for public inspection and examination, and, in the case of real estate other than residential real estate, during an additional period ending the tenth day of May in each year, the commissioner may place on such books any real estate and also the assessed valuation of any such real estate that may have been omitted from such books on the day of the opening thereof, and may increase or diminish the assessed valuation of any real estate as in the commissioner's judgment may be just or necessary for the equalization of taxation; but no such addition to the books and no such increase in assessed valuation shall be made, except upon mailing ten days' prior written notice addressed to the person whose name appears on the records in the office of the city collector as being the owner or agent of the owner of the real estate affected thereby at the last known address of such owner or agent. Where no name appears on such records such notice shall be sent to the premises addressed to either the owner or agent. An affidavit of such mailing shall be filed in the main office of the department. When such notice is mailed after the first day of February, such owners may apply for a correction of such assessment so added or so increased within twenty days after the mailing of such notice with the same force and effect as if such application were made on or before the first day of March in such year. For purposes of this section the term "residential real estate" shall include but not be limited to one and two-family homes and multiple dwellings (including co-operative and condominium dwelling units), but shall not include hotels, apartment hotels and motels.