Rockland operators and Sobolev spaces

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


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.


Sobolev Space Heat Kernel Functional Calculus Fractional Power Convolution Kernel 
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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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