<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2020000100067</article-id>
<article-id pub-id-type="doi">10.18273/revint.v38n1-2020006</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The Dixmier trace and the Wodzicki residue for global pseudo-differential operators on compact manifolds]]></article-title>
<article-title xml:lang="es"><![CDATA[La traza de Dixmier y el residuo de Wodzicki para operadores pseudodifferenciales globales sobre variedades compactas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[Duván]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Corral]]></surname>
<given-names><![CDATA[César Del]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Ghent University Department of Mathematics: Analysis, Logic and Discrete Mathematics ]]></institution>
<addr-line><![CDATA[ Ghent]]></addr-line>
<country>Belgium</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de los Andes Department of Mathematics ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>38</volume>
<numero>1</numero>
<fpage>67</fpage>
<lpage>79</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2020000100067&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2020000100067&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2020000100067&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. In this note, we announce the results of our investigation on the Dixmier trace and the Wodzicki residue for pseudo-differential operators on compact manifolds. We give formulae for the Dixmier trace and the non-commutative residue (also called Wodzicki&#8217;s residue) of invariant pseudo-differential operators on compact manifolds with or without boundary. For every closed manifold, the notion of global symbol for invariant pseudo-differential operators will be based on the Fourier analysis associated to every elliptic and positive operator (developed by M. Ruzhansky, V. Turunen and J. Delgado). In particular, for each compact Lie group we will use its representation theory. For the analysis of operators on compact manifolds with boundary, we will use the non-harmonic analysis associated with boundary valued problems (developed by M. Ruzhansky, N. Tokmagambetov, and J. Delgado). MSC2010: 81Q10, 47B10.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen. En esta nota se anuncian los resultados de nuestra investigación sobre la traza de Dixmier y el residuo de Wodzicki para operadores pseudodiferenciales sobre variedades compactas. Se calcula la traza de Dixmier y el residuo no conmutativo (residuo de Wodzicki) de operadores pseudodiferenciales invariantes sobre variedades compactas con o sin borde. Para cada variedad cerrada (suave, compacta y sin borde), se emplea la noción de símbolo global que viene dada por el análisis de Fourier asociado a cada operador elíptico y positivo (desarrollado por M. Ruzhansky and V. Turunen para para grupos de Lie y por M. Ruzhansky, N. Tokmagambetov y J. Delgado para variedades cerradas). En particular, para cada grupo de Lie compacto, se usa su teoría de representación. Respecto al análisis de operadores sobre variedades con borde, se usa el análisis no armónico asociado a problemas con valores de frontera (introducido por M. Ruzhansky, N. Tokmagambetov, y J. Delgado).]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Dixmier trace]]></kwd>
<kwd lng="en"><![CDATA[non commutative residue]]></kwd>
<kwd lng="en"><![CDATA[global operators]]></kwd>
<kwd lng="en"><![CDATA[representation theory.]]></kwd>
<kwd lng="es"><![CDATA[Traza de Dixmier]]></kwd>
<kwd lng="es"><![CDATA[residuo no conmutativo]]></kwd>
<kwd lng="es"><![CDATA[operador global]]></kwd>
<kwd lng="es"><![CDATA[teoría de representaciones.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barraza]]></surname>
<given-names><![CDATA[E.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On nuclear Lp multipliers associated to the harmonic oscillator]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Analysis and Partial Differential Equations: Perspectives from Developing Countries. Springer Proceedings in Mathematics Statistics]]></source>
<year>2019</year>
<volume>275</volume>
<page-range>31-41</page-range><publisher-loc><![CDATA[Springer ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boutet de Monvel]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Boundary problems for pseudo-differential operators]]></article-title>
<source><![CDATA[Acta Math.]]></source>
<year>1971</year>
<volume>126</volume>
<numero>1-2</numero>
<issue>1-2</issue>
<page-range>11-51</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chatzakou]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.m]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[On a class of anharmonic oscillators]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nuclear pseudo-differential operators in Besov spaces on compact Lie groups]]></article-title>
<source><![CDATA[J. Fourier Anal. Appl.]]></source>
<year>2017</year>
<volume>23</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>1238-62</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes]]></article-title>
<source><![CDATA[Rev. Integr. temas mat.]]></source>
<year>2018</year>
<volume>36</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>49-57</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the nuclear trace of Fourier Integral Operators]]></article-title>
<source><![CDATA[Rev. Integr. temas mat.]]></source>
<year>2019</year>
<volume>37</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>219-49</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Del Corral]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Dixmier traces for discrete pseudo-differential operators]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multilinear analysis for discrete and periodic pseudodifferential operators in Lp spaces]]></article-title>
<source><![CDATA[Rev. Integr. temas mat.]]></source>
<year>2018</year>
<volume>36</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>151-64</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lp-boundedness and Lp-nuclearity of multilinear pseudodifferential operators on Zn and the torus Tn]]></article-title>
<source><![CDATA[J. Fourier Anal. Appl.]]></source>
<year>2019</year>
<volume>25</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>2973-3017</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Barraza]]></surname>
<given-names><![CDATA[E.S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator]]></article-title>
<source><![CDATA[Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys]]></source>
<year>2018</year>
<volume>80</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>163-72</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardona]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Del Corral]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Dixmier trace and the noncommutative residue for multipliers on compact manifolds]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Connes]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Noncommutative geometry]]></source>
<year>1994</year>
<publisher-loc><![CDATA[San Diego ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press Inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Schatten-von Neumann classes of integral operators]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fourier multipliers in Hilbert spaces]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lp-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups]]></article-title>
<source><![CDATA[J. Math. Pures Appl.]]></source>
<year>2014</year>
<volume>102</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>153-72</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Schatten classes on compact manifolds: Kernel conditions]]></article-title>
<source><![CDATA[J. Funct. Anal.]]></source>
<year>2014</year>
<volume>267</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>772-98</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Kernel and symbol criteria for Schatten classes and rnuclearity on compact manifolds]]></article-title>
<source><![CDATA[C. R. Acad. Sci. Paris.]]></source>
<year>2014</year>
<volume>352</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>779-84</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Lp-bounds for pseudo-differential operators on compact Lie groups]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fourier multipliers, symbols and nuclearity on compact manifolds]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Tokmagambetov]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dixmier]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Existence de traces non normales]]></article-title>
<source><![CDATA[C. R. Acad. Sci. Paris. S´r A-B 262]]></source>
<year>1966</year>
<page-range>1107-8</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fedosov]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Golse]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Leichtnam]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Schrohe]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Noncommutative Residue for Manifolds with Boundary]]></article-title>
<source><![CDATA[J. Funct. Anal.]]></source>
<year>1996</year>
<volume>142</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>1-31</page-range></nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghaemi]]></surname>
<given-names><![CDATA[M. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Jamalpourbirgani]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Wong]]></surname>
<given-names><![CDATA[M. W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Characterizations, adjoints and products of nuclear pseudo-differential operators on compact and Hausdorff groups]]></article-title>
<source><![CDATA[Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys.]]></source>
<year>2017</year>
<volume>79</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>207-20</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Grubb]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Schrohe]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Trace expansions and the noncommutative residue for manifolds with boundary]]></article-title>
<source><![CDATA[J. Reine Angew. Math.]]></source>
<year>2001</year>
<volume>536</volume>
<page-range>167-207</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hörmander]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Analysis of the linear partial differential operators III]]></source>
<year>1985</year>
<publisher-loc><![CDATA[Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[V.n]]></given-names>
</name>
<name>
<surname><![CDATA[Wong]]></surname>
<given-names><![CDATA[M. W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[C*-algebras, H*-algebras and trace ideals of pseudodifferential operators on locally compact, Hausdorff and abelian groups]]></article-title>
<source><![CDATA[J. Pseudo-Differ. Oper. Appl.]]></source>
<year>2019</year>
<volume>10</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>269-83</page-range></nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nest]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Schrohe]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dixmier's trace for boundary value problems]]></article-title>
<source><![CDATA[Manuscripta math.]]></source>
<year>1998</year>
<volume>96</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>203-18</page-range><publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<label>29</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pietsch]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Traces and residues of pseudo-differential operators on the torus]]></article-title>
<source><![CDATA[Integr. Equ. Oper. Theory.]]></source>
<year>2015</year>
<volume>83</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>1-23</page-range></nlm-citation>
</ref>
<ref id="B30">
<label>30</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Tokmagambetov]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonharmonic Analysis of Boundary Value Problems]]></article-title>
<source><![CDATA[International Mathematics Research Notices]]></source>
<year>2016</year>
<numero>12</numero>
<issue>12</issue>
<page-range>3548-615</page-range></nlm-citation>
</ref>
<ref id="B31">
<label>31</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Turunen]]></surname>
<given-names><![CDATA[V]]></given-names>
</name>
</person-group>
<source><![CDATA[Pseudo-Differential Operators and Symmetries]]></source>
<year>2010</year>
<publisher-loc><![CDATA[Basel ]]></publisher-loc>
<publisher-name><![CDATA[Birkhäuser-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<label>32</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruzhansky]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Wirth]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lp Fourier multipliers on compact Lie groups]]></article-title>
<source><![CDATA[Math. Z.]]></source>
<year>2015</year>
<volume>280</volume>
<numero>3-4</numero>
<issue>3-4</issue>
<page-range>621-42</page-range></nlm-citation>
</ref>
<ref id="B33">
<label>33</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Schrohe]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary.]]></article-title>
<source><![CDATA[Amer. Math. Soc.]]></source>
<year>1999</year>
<page-range>161-86</page-range><publisher-name><![CDATA[Providence]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B34">
<label>34</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wodzicki]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Noncommutative residue. I. Fundamentals]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Manin]]></surname>
<given-names><![CDATA[Yu. I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Lecture Notes in Math]]></source>
<year>1289</year>
<publisher-loc><![CDATA[Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
