UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 14A

           Proxy Statement Pursuant to Section 14(a) of the Securities
                    Exchange Act of 1934 (Amendment No. ___)

Filed by the Registrant |X|
Filed by a party other than the Registrant |_|

Check the appropriate box:

|_|   Preliminary proxy statement.
|_|   Confidential, for Use of the Commission Only (as permitted by Rule
      14a-6(e)(2))
|_|   Definitive proxy statement.
|X|   Definitive additional materials.
|_|   Soliciting material under Rule 14a-12.

                      SELIGMAN SELECT MUNICIPAL FUND, INC.
            (Name of Registrant as Specified in Registrant's Charter)

- -------------------------------------------------------------------------------
    (Name of Person(s) Filing Proxy Statement, if Other Than the Registrant)

Payment of filing fee (check the appropriate box):

|X|   No fee required.
|_|   Fee computed on table below per Exchange Act Rules 14a-6(i)(1) and 0-11.

(1)   Title of each class of securities to which transaction applies:
(2)   Aggregate number of securities to which transaction applies:
(3)   Per unit price or other underlying value of transaction computed pursuant
      to Exchange Act Rule 0-11 (set forth the amount on which the filing fee is
      calculated and state how it was determined):
(4)   Proposed maximum aggregate value of transaction:
(5)   Total fee paid:

|_|   Fee paid previously with preliminary materials.
|_|   Check box if any part of the fee is offset as provided by Exchange Act
      Rule 0-11(a)(2) and identify the filing for which the offsetting fee was
      paid previously. Identify the previous filing by registration statement
      number, or the form or schedule and the date of its filing.

(1)   Amount Previously Paid:
(2)   Form, Schedule or Registration Statement No.:
(3)   Filing Party:
(4)   Date Filed:



More Information Contact:               (612) 678-7786
Charles Keller                          charles.r.keller@ampf.com

Stockholder Contact:                    (6120 218-3864
Chris Moran                             christopher.m.moran@ampf.com

             RiverSource Investments, LLC Completes its Acquisition
                     of J. & W. Seligman & Co. Incorporated
                    and Becomes Interim Investment Manager of
                Seligman Select Municipal Fund, Inc. (NYSE: SEL)

NEW YORK, NEW YORK,  November 7, 2008 - Today,  Seligman Select  Municipal Fund,
Inc. (the "Corporation") (NYSE: SEL) announced that RiverSource Investments, LLC
("RiverSource Investments"),  a wholly-owned subsidiary of Ameriprise Financial,
Inc. ("Ameriprise  Financial"),  has completed its acquisition (the "RiverSource
Transaction") of J. & W. Seligman & Co. Incorporated  ("Seligman").  As a result
of the RiverSource  Transaction,  the  Corporation's  management  agreement with
Seligman has terminated,  and  RiverSource is the new investment  manager of the
Corporation under an interim investment  management services agreement effective
November  7, 2008 for a period of up to 150 days  (through  April 5,  2009) (the
"Interim Agreement").

The  Corporation's  portfolio  managers  have not  changed  as a  result  of the
RiverSource Transaction.

As described in the Proxy  Statement/Prospectus  (as defined below), the Interim
Agreement,  which was approved by the  Corporation's  Board of  Directors,  will
provide the  Corporation  with  continuity  of  portfolio  management  and other
services  through April 5, 2009,  during which time the Corporation will solicit
stockholder vote on the Plan and Proposed Agreement (each as defined below).

As announced by the Corporation on September 4, 2008, the Corporation's Board of
Directors  approved  and  recommended  to  the  Corporation's  stockholders  the
acquisition (the  "Acquisition") of the Corporation by National  Municipal Class
("National  Fund"), a series of Seligman  Municipal Fund Series,  Inc.  ("SMF"),
which,  effective November 7, 2008, is also managed by RiverSource  Investments.
On  December  18,  2008,  the  Corporation   will  hold  a  Special  Meeting  of
Stockholders (the "Meeting") for the following purposes:

      1.    To consider and vote on a proposal to approve the Agreement and Plan
            of Merger and  Liquidation  (the  "Plan") as  described in the proxy
            statement/prospectus,   dated   October   28,   2008   (the   "Proxy
            Statement/Prospectus"),   the  merger  and  the  other  transactions
            contemplated by the Plan;

      2.    To  consider  and  vote  upon  the  proposed  Investment  Management
            Services   Agreement   between  the   Corporation   and  RiverSource
            Investments; and



      3.    To elect directors to the Board of Directors of the Corporation, (i)
            four of which  to hold  office  until  the 2009  annual  meeting  of
            stockholders, (ii) two of which to hold office until the 2010 annual
            meeting of stockholders and (iii) four of which to hold office until
            the 2011 annual meeting of stockholders,  and until their successors
            are elected and qualify.

The  close  of  business  on  October  24,  2008  is the  record  date  for  the
determination of stockholders entitled to notice of, and to vote at, the Meeting
or any adjournment or postponement thereof.

On November 3, 2008,  shareholders  of National Fund  approved a new  investment
management  services  agreement  between  SMF (on behalf of  National  Fund) and
RiverSource Investments at a special meeting of shareholders.  This approval was
a condition (now satisfied) to the consummation of the Acquisition.

RiverSource Investments, 200 Ameriprise Financial Center, Minneapolis, Minnesota
55474,  is also the investment  manager of the other funds in the Seligman Group
of Funds, and is a wholly-owned  subsidiary of Ameriprise Financial.  Ameriprise
Financial is a financial  planning and financial  services company that has been
offering  solutions  for clients'  asset  accumulation,  income  management  and
protection  needs for more than 110 years.  In addition to managing  investments
for the Seligman Group of Funds, RiverSource Investments manages investments for
the RiverSource  funds,  itself and its affiliates.  For institutional  clients,
RiverSource  Investments and its affiliates  provide  investment  management and
related services,  such as separate account asset management,  and institutional
trust and custody, as well as other investment products.

This press release does not constitute an offering of securities.

You should consider the investment  objectives,  risks, charges, and expenses of
the Funds  carefully  before  investing.  Investors  can obtain the Funds'  most
recent annual and mid-year  reports and other  regulatory  filings by contacting
Seligman  Services,  Inc. at  800-597-6068.  These reports and other filings are
also available on the Securities and Exchange  Commission's EDGAR Database.  You
should read these  reports  and other  filings  carefully  before  investing  or
sending money.

There is no guarantee that the Corporation's investment goals/objectives will be
met, and you could lose money.