<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Iakovos Androulidakis</style></author><author><style face="normal" font="default" size="100%">Yuri Kordyukov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Laplacians for generalised smooth distributions as C*-algebra multipliers</style></title><secondary-title><style face="normal" font="default" size="100%">Manuilov, V.M., Mishchenko, A.S., Nazaikinskii, V.E., Schulze, BW., Zhang, W. (eds) Differential Equations on Manifolds and Mathematical Physics. </style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1007/978-3-030-37326-9_2</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Trends in Mathematics. Birkhäuser, Cham.</style></publisher><pages><style face="normal" font="default" size="100%">11-30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;span&gt;In this paper, we discuss spectral properties of Laplacians associated with an arbitrary smooth distribution on a compact manifold. First, we give a survey of results on generalized smooth distributions on manifolds, Riemannian structures and associated Laplacians. Then, under the assumption that the singular foliation generated by the distribution is regular, we prove that the Laplacian associated with the distribution defines an unbounded multiplier on the foliation&amp;nbsp;&lt;/span&gt;&lt;span id=&quot;MathJax-Element-2-Frame&quot; class=&quot;MathJax&quot;&gt;&lt;span id=&quot;MathJax-Span-6&quot; class=&quot;math&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;span id=&quot;MathJax-Span-7&quot; class=&quot;mrow&quot;&gt;&lt;span id=&quot;MathJax-Span-8&quot; class=&quot;msubsup&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;span id=&quot;MathJax-Span-9&quot; class=&quot;mi&quot;&gt;C*&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;span id=&quot;MathJax-Span-10&quot; class=&quot;mo&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;-algebra. To this end, we give the construction of a parametrix.&lt;/span&gt;</style></abstract></record></records></xml>