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                                  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.
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        (Name of Registrant's as Specified in each Registrant's Charter)

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    (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:
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(4)   Date Filed:




Media contact:                      Charles Keller
                                    612-678-7786
                                    charles.r.keller@ampf.com

Stockholder Contact:                Chris Moran
                                    617-218-3864
                                    christopher.m.moran@ampf.com


                       Special Meeting of Stockholders of
                Seligman Select Municipal Fund, Inc. (NYSE: SEL)
                       Further Adjourned to Solicit Votes
                  in Respect of the Proposal to Merge the Fund

NEW YORK, NY, January 16, 2009 - Today,  Seligman  Select  Municipal  Fund, Inc.
("Select   Municipal")   (NYSE:  SEL)  held  an  Adjourned  Special  Meeting  of
Stockholders  (the  "Meeting")  to consider the proposed  Agreement  and Plan of
Merger and  Liquidation  (the  "Plan"),  the  merger and the other  transactions
contemplated  by the Plan,  including  the  acquisition  of Select  Municipal by
National  Municipal Class ("National Fund"), a series of Seligman Municipal Fund
Series,    Inc.    (the    "Acquisition"),    as    described   in   the   proxy
statement/prospectus,  dated October 28, 2008. However, because sufficient votes
to approve  the  Acquisition  proposal  were not  received at the  Meeting,  the
Meeting has been  further  adjourned  to February 5, 2009 to solicit  additional
votes to approve the Acquisition proposal.

Although more than 95% of the votes received to date  (representing at least 66%
of the  outstanding  shares  of  Select  Municipal)  have  voted in favor of the
Acquisition  proposal,  the  Acquisition  proposal has not received the required
vote of 66-2/3% of all outstanding shares of Select Municipal's common stock and
preferred  stock  (which vote  together  as a single  class).  Accordingly,  the
Meeting  has been  further  adjourned  to 3:30  p.m.  on  February  5, 2009 (the
"Adjourned  Meeting") at the offices of Select Municipal,  100 Park Avenue,  8th
Floor, New York, New York 10017.  This adjournment will provide  additional time
for Select  Municipal's  solicitation  of proxies  to  approve  the  Acquisition
proposal.

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
Adjourned Meeting or any adjournment or postponement  thereof, in respect of the
Acquisition proposal.

National Fund is an open-end fund that pursues an investment strategy similar to
that of Select Municipal.  Unlike Select  Municipal,  which is a closed-end fund
that  utilizes  leverage  provided by preferred  stock,  National  Fund does not
utilize  leverage.  As  consideration  for  their  shares,   holders  of  Select
Municipal's  common stock will, upon  consummation of the  Acquisition,  receive
Class A shares of  National  Fund with a value  equal to the net asset  value of
their  shares  of  Select  Municipal.  Redemptions  and  exchanges  of shares of
National Fund issued pursuant to the Acquisition will be subject to a redemption
fee of 2% for a period of one year following the closing of the Acquisition. The
agreement  relating to the Acquisition  requires that the outstanding  shares of
preferred  stock of Select  Municipal be redeemed prior to  consummation  of the
Acquisition.

Since  November 7, 2008,  Select  Municipal and National Fund (the "Funds") have
been managed by  RiverSource  Investments,  LLC  ("RiverSource").  Prior to such
date,  the  Funds  were  managed  by  J.  &  W.  Seligman  &  Co.  Incorporated.
Shareholders  of National Fund  approved a new  investment  management  services
agreement  between Seligman  Municipal Fund Series,  Inc. (on behalf of National
Fund) and RiverSource at a special  meeting of shareholders  held on November 3,
2008.  Such approval is a condition to the closing of the  Acquisition of Select
Municipal by National Fund.


The net asset value of shares of Seligman Municipal may not always correspond to
the market  price of such shares.  Shares of many  closed-end  funds  frequently
trade at a discount from their net asset value.  Select  Municipal is subject to
stock market risk, which is the risk that stock prices overall will decline over
short or long  periods,  adversely  affecting  the value of an investment in the
Fund.

Fixed-income  securities owned by the Funds are subject to  interest-rate  risk,
credit  risk,  repayment  risk,  and market  risk.  To the extent that the Funds
concentrate their  investments in municipal  securities issued by a single state
and its municipalities,  specific events or factors affecting a particular state
may have an impact on the municipal  securities of that state without  affecting
the municipal market in general.

You should consider the investment objectives, risks, charges, and expenses of a
Fund carefully  before  investing.  You can obtain a Fund's most recent periodic
reports and other  regulatory  filings  (including  the  prospectus  relating to
National Fund) by contacting your financial advisor or Seligman  Services,  Inc.
at  800-597-6068.  These  reports  and  other  filings  can also be found on the
Securities  and  Exchange  Commission's  EDGAR  Database.  You should read these
reports  and  other  filings  carefully  before  investing.   National  Fund  is
distributed by Seligman Advisors, Inc.

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


NOT FDIC INSURED                    MAY LOSE VALUE             NO BANK GUARANTEE
NOT A DEPOSIT                       NOT INSURED BY ANY FEDERAL GOVERNMENT AGENCY