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Rockland operators and Sobolev spaces

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Part of the Progress in Mathematics book series (PM, volume 314)

Abstract

In this chapter, we study a special type of operators: the (homogeneous) Rockland operators. These operators can be viewed as a generalisation of sub-Laplacians to the non-stratified but still homogeneous (graded) setting. The terminology comes from a property conjectured by Rockland and eventually proved by Helffer and Nourrigat in [HN79], see Section 4.1.3.

Keywords

Sobolev Space Heat Kernel Functional Calculus Fractional Power Convolution Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© The Author(s) 2016

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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BathBathUK
  2. 2.Department of MathematicsImperial College LondonLondonUK

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