<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">475742125</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180406123502.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170329e20000501xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/BF02676332</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/BF02676332</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="0">
   <subfield code="a">Wavelet decomposition of the space of discrete periodic splines</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[V. Kirushev, V. Malozemov, A. Pevnyi]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">An orthogonal basis for the spaceS r m of discrete periodic splines is constructed. The wavelet decomposition of the spaceS r m form=2 t is obtained using this basis. We derive recurrence formulas for the transformation from the decomposition with respect to the orthogonal basis to the wavelet decomposition, as well as recurrence formulas for the inverse transformation.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Kluwer Academic/Plenum Publishers, 2000</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">wavelet decomposition</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">discrete periodic spline</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">orthogonal basis</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">wavelet basis</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Kirushev</subfield>
   <subfield code="D">V.</subfield>
   <subfield code="u">Syktyvkar State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Malozemov</subfield>
   <subfield code="D">V.</subfield>
   <subfield code="u">St. Petersburg State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Pevnyi</subfield>
   <subfield code="D">A.</subfield>
   <subfield code="u">Syktyvkar State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Mathematical Notes</subfield>
   <subfield code="d">Kluwer Academic Publishers-Plenum Publishers</subfield>
   <subfield code="g">67/5(2000-05-01), 603-610</subfield>
   <subfield code="x">0001-4346</subfield>
   <subfield code="q">67:5&lt;603</subfield>
   <subfield code="1">2000</subfield>
   <subfield code="2">67</subfield>
   <subfield code="o">11006</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/BF02676332</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1007/BF02676332</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Kirushev</subfield>
   <subfield code="D">V.</subfield>
   <subfield code="u">Syktyvkar State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Malozemov</subfield>
   <subfield code="D">V.</subfield>
   <subfield code="u">St. Petersburg State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Pevnyi</subfield>
   <subfield code="D">A.</subfield>
   <subfield code="u">Syktyvkar State University, USSR</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Mathematical Notes</subfield>
   <subfield code="d">Kluwer Academic Publishers-Plenum Publishers</subfield>
   <subfield code="g">67/5(2000-05-01), 603-610</subfield>
   <subfield code="x">0001-4346</subfield>
   <subfield code="q">67:5&lt;603</subfield>
   <subfield code="1">2000</subfield>
   <subfield code="2">67</subfield>
   <subfield code="o">11006</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
 </record>
</collection>
