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<top_article>
 <mrnumber>MR1040165</mrnumber>
 <author>Haraoka, Yoshishige</author>
 <author_utf8>Yoshishige HARAOKA</author_utf8>
 <title>Theorems of Sibuya-Malgrange type for Gevrey functions               of several variables</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>32</volume>
 <year>1989</year>
 <page>365--388</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol32/fe32-3-3.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe32-365-388/fe32-365-388.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1040165</mathsci_link>
<fesi_info>
  <FILE>fe32-365-388</FILE>
  <YEAR>1989</YEAR>
  <TITLE>Theorems of Sibuya-Malgrange Type for Gevrey Functions of Several Variables</TITLE>
  <AUTHOR>HARAOKA, Yoshishige</AUTHOR>
  <AUTHOR_utf8>HARAOKA, Yoshishige</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Gevrey, M.</author>
    <title>Sur la nature analytique des solutions des &#233;quations aux d&#233;riv&#233;es partielles</title>
    <journal>Ann. Sci. Ecole Norm. Sup. (3)</journal>
    <ser>3</ser>
    <vol>XXXV</vol>
    <year>1918</year>
    <page>129-190</page>
    <mr>MR1509208</mr>
    <score>84</score>
    <query_string>Cache/Ge/Gevrey,analytique,Ann*,1918,1919</query_string>
  </article>

  <other>
    <bibitem>2</bibitem>
    <raw_data>Haraoka, Y., Theorems of Malgrange type for Gevrey functions in polysectors of n dimensional complex space, Master's thesis (in Japanese), Univ. Tokyo (1983)</raw_data>
  </other>

  <article>
    <bibitem>3</bibitem>
    <author>Komatsu, H.</author>
    <title>An analogue of the Cauchy-Kowalevsky theorem for ultradifferentiable functions and a division theorem of ultradistributions as its dual</title>
    <journal>J. Fac. Sci, Univ. Tokyo, Sec. IA</journal>
    <ser>Sec. IA</ser>
    <vol>26</vol>
    <year>1979</year>
    <page>239-254</page>
    <mr>MR0550685</mr>
    <score>100</score>
    <query_string>Cache/Ko/Komatsu,ultradifferentiable,J*,1979,1980</query_string>
  </article>

  <fearticle>
    <bibitem>4</bibitem>
    <author>Majima, H.</author>
    <title>Analogues of Cartan's decomposition theorem in asymptotic analysis</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>26</vol>
    <year>1983</year>
    <page>131-154</page>
    <mr>MR0736897</mr>
<feart>0736897</feart>
    <score>100</score>
    <query_string>Cache/Ma/Majima,decomposition,Funkcial*,1983,1984</query_string>
  </fearticle>

  <book>
    <bibitem>5</bibitem>
    <author>Majima, H.</author>
    <booktitle>Asymptotic analysis for integrable connections with irregular singular points</booktitle>
    <publisher>Lecture Notes in Math., 1075, Springer-Verlag</publisher>
    <year>1984</year>
    <mr>MR0757897</mr>
    <score>100</score>
    <query_string>Cache/Ma/Majima,connections,*,1984,1985</query_string>
    <page>x+159</page>
  </book>

  <article>
    <bibitem>6</bibitem>
    <author>Malgrange, B.</author>
    <title>Remarques sur les &#233;quations diff&#233;rentielles &#224; points singuliers irr&#233;guliers</title>
    <journal>Lecture Notes in Math., 712, Springer-Verlag</journal>
    <year>1979</year>
    <page>77-86</page>
    <mr>MR0548145</mr>
    <query_string>Cache/Ma/Malgrange,Remarques,*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Martinet, J.; Ramis, J. P.</author>
    <title>Probl&#232;mes de modules pour des &#233;quations diff&#233;rentielles non-lin&#233;arires du premies ordre</title>
    <journal>Publ. I.H.E.S.</journal>
    <vol>55</vol>
    <year>1982</year>
    <page>63-164</page>
    <mr>MR0672182</mr>
    <score>83</score>
    <query_string>Cache/Ma/Martinet,*,Publ*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Ramis, J. P.</author>
    <title>D&#233;vissage Gevrey</title>
    <journal>Ast&#233;risques S.M.F.</journal>
    <vol>56-60</vol>
    <year>1978</year>
    <page>173-204</page>
    <mr>MR0542737</mr>
    <query_string>Cache/Ra/Ramis,*,Ast&#233;risques*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Ramis, J. P.</author>
    <title>Les s&#233;ries $k$-sommables et leurs applications</title>
    <journal>Lecture Notes in Phys., 126, Springer-Verlag</journal>
    <year>1980</year>
    <page>178-199</page>
    <mr>MR0579749</mr>
    <query_string>Cache/Ra/Ramis,applications,*,1980,1981</query_string>
  </article>

  <book>
    <bibitem>10</bibitem>
    <author>Ramis, J. P.</author>
    <booktitle>Th&#233;or&#232;mes d'indices Gevrey pour les &#233;quations diff&#233;rentielles ordinaires</booktitle>
    <publisher>Memoirs A.M.S., 296</publisher>
    <year>1984</year>
    <mr>MR0733946</mr>
    <score>100</score>
    <query_string>Cache/Ra/Ramis,*,Memoirs*,1984,1985</query_string>
    <page>viii+95</page>
  </book>

  <book>
    <bibitem>11</bibitem>
    <author>Sibuya, Y.</author>
    <booktitle>Linear ordinary differential equation in the complex domain -connection problem-</booktitle>
    <publisher>Kinokuniya-Shoten</publisher>
    <year>1976</year>
    <page>000</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Si/Sibuya,ordinary,*,1976,1977</query_string>
  </book>

  <book>
    <bibitem>12</bibitem>
    <author>Wasow, W.</author>
    <booktitle>Asymptotic expansions for ordinary differential equations</booktitle>
    <publisher>Interscience</publisher>
    <year>1965</year>
    <mr>MR0203188</mr>
    <score>100</score>
    <query_string>Cache/Wa/Wasow,Asymptotic,*,1965,1966</query_string>
    <page>ix+362</page>
  </book>

</references>
</top_article>
