Negative Definite Functions on Groups with Polynomial Growth

  • Fabio CiprianiEmail author
  • Jean-Luc Sauvageot
Part of the Operator Theory: Advances and Applications book series (OT, volume 252)


The aim of this work is to show that on a locally compact, second countable, compactly generated group G with polynomial growth and homogeneous dimension d h, there exists a continuous, proper, negative definite function l with polynomial growth dimension d l arbitrarily close to d h.


Group polynomial growth negative definite function homogeneous dimension 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Dipartimento di MatematicaPolitecnico MilanoMilanoItaly
  2. 2.Institut de MathématiquesCNRS Université Denis DiderotParis, Cedex 13France

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