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<top_article>
 <mrnumber>MR1065469</mrnumber>
 <author>Gajda, Zbigniew</author>
 <author_utf8>Zbigniew GAJDA</author_utf8>
 <title>A generalization of d'Alembert's functional equation</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>33</volume>
 <year>1990</year>
 <page>69--77</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol33/fe33-1-5.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe33-069-077/fe33-069-077.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1065469</mathsci_link>
<fesi_info>
  <FILE>fe33-069-077</FILE>
  <YEAR>1990</YEAR>
  <TITLE>A Generalization of D'Alembert's Functional Equation</TITLE>
  <AUTHOR>GAJDA, Zbigniew</AUTHOR>
  <AUTHOR_utf8>GAJDA, Zbigniew</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Acz&#233;l, J.</author>
    <booktitle>Lectures on functional equations and their applications</booktitle>
    <publisher>Academic Press, New York-San Francisco-London</publisher>
    <year>1966</year>
    <mr>MR0208210</mr>
    <score>100</score>
    <query_string>Cache/Ac/Acz&#233;l,applications,*,1966,1967</query_string>
    <page>xx+510</page>
  </book>

  <article>
    <bibitem>2</bibitem>
    <author>Baker, J. A.</author>
    <title>D'Alembert's functional equation in Banach algebras</title>
    <journal>Acta Sci. Math. Szeged</journal>
    <vol>32</vol>
    <year>1971</year>
    <page>225-234</page>
    <mr>MR0322384</mr>
    <score>100</score>
    <query_string>Cache/Ba/Baker,D'Alembert's,Acta*,1971,1972</query_string>
  </article>

  <book>
    <bibitem>3</bibitem>
    <author>Benedetto, J. J.</author>
    <booktitle>Spectral synthesis</booktitle>
    <publisher>Teubner, Stuttgart</publisher>
    <year>1975</year>
    <mr>MR0622040</mr>
    <score>100</score>
    <query_string>Cache/Be/Benedetto,synthesis,*,1975,1976</query_string>
    <page>278 pp. (loose errata)</page>
  </book>

  <other>
    <bibitem>4</bibitem>
    <raw_data>Chojnacki, W., On some functional equation generalizing Cauchy's and d'Alembert's functional equations, manuscript</raw_data>
    <mr>MR0964333</mr>
  </other>

  <article>
    <bibitem>5</bibitem>
    <author>O'Connor, T. A.</author>
    <title>A solution of D'Alembert's functional equation on a locally compact Abelian group</title>
    <journal>Aequationes Math.</journal>
    <vol>15</vol>
    <year>1977</year>
    <page>235-238</page>
    <mr>MR0454443</mr>
    <score>100</score>
    <query_string>Cache/OC/O'Connor,D'Alembert's,Aequationes*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Dacic, R.</author>
    <title>The cosine functional equation for groups</title>
    <journal>Mat. Vesnik</journal>
    <vol>6(21)</vol>
    <year>1969</year>
    <page>339-342</page>
    <mr>MR0271570</mr>
    <score>100</score>
    <query_string>Cache/Da/Dacic,functional,Mat*,1969,1970</query_string>
  </article>

  <book>
    <bibitem>7</bibitem>
    <author>Hewitt, E.; Ross, K. A.</author>
    <booktitle>Abstract harmonic analysis</booktitle>
    <publisher>Springer Verlag, Berlin-G&#246;ttingen- Heidelberg</publisher>
    <year>1963</year>
    <mr>MR0156915</mr>
  </book>

  <article>
    <bibitem>8</bibitem>
    <author>Kannappan, Pl.</author>
    <title>The functional equation $f(xy)+f(xy^{-1})=2f(x)f(y)$ for groups</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>19</vol>
    <year>1968</year>
    <page>69-74</page>
    <mr>MR0219936</mr>
    <query_string>Cache/Ka/Kannappan,f(xy)+f(xy-1)=2f(x)f(y),Proc*,1968,1969</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Ljubenova, E. T.</author>
    <title>On D'Alembert's functional equation on an Abelian group</title>
    <journal>Aequationes Math.</journal>
    <vol>22</vol>
    <year>1981</year>
    <page>54-55</page>
    <mr>MR0623317</mr>
    <score>100</score>
    <query_string>Cache/Lj/Ljubenova,D'Alembert's,Aequationes*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Nagy, B.</author>
    <title>A sine functional equation in Banach algebras</title>
    <journal>Publ. Math. Debrecen</journal>
    <vol>24</vol>
    <year>1977</year>
    <page>77-90</page>
    <mr>MR0460954</mr>
    <score>100</score>
    <query_string>Cache/Na/Nagy,functional,Publ*,1977,1978</query_string>
  </article>

  <book>
    <bibitem>11</bibitem>
    <author>Rudin, W.</author>
    <booktitle>Fourier analysis on groups</booktitle>
    <publisher>Interscience Publishers</publisher>
    <year>1962</year>
    <mr>MR0152834</mr>
    <score>100</score>
    <query_string>Cache/Ru/Rudin,analysis,*,1962,1963</query_string>
    <page>ix+285</page>
  </book>

  <article>
    <bibitem>12</bibitem>
    <author>van Vleck, E. B.</author>
    <title>A functional equation for the sine</title>
    <journal>Ann. Math.</journal>
    <vol>11</vol>
    <year>1910</year>
    <page>161-165</page>
    <mr>MR1502405</mr>
    <score>100</score>
    <query_string>Cache/va/van Vleck,functional,Ann*,1910,1911</query_string>
  </article>

</references>
</top_article>
