If, at the time of delivery of the general obligation refunding bonds, the obligations to be refunded will not be retired or a valid and timely notice of redemption of the outstanding obligations is not given in accordance with the resolution, indenture or other instrument governing the redemption of the outstanding obligations, then, prior to the issuance of the general obligation refunding bonds, the governing body shall cause to be given a notice of its intention to issue the general obligation refunding bonds. The notice shall be given either by mail to the owners of all the outstanding obligations to be refunded at their addresses shown on the bond registration records for the outstanding obligations or given by publication one (1) time each in a newspaper having a general circulation in the local government and in a financial newspaper published in New York, New York, having a national circulation. The notice shall set forth the estimated date of delivery of the general obligation refunding bonds and identify the obligations, or the individual maturities thereof, proposed to be refunded; provided, that if portions of individual maturities are proposed to be refunded, the notice shall identify the maturities subject to partial refunding and the aggregate principal amount to be refunded within each maturity. If the issuance of the general obligation refunding bonds does not occur as provided in the notice, the governing body shall cause notice thereof to be given as provided above. Except as otherwise set forth in this section, the notice required pursuant to this section shall be given whether or not any of the obligations to be refunded are to be called for redemption.